Answer:
191.36 m----------------------
We have two similar triangles:
ΔUVW ~ ΔUXYThe ratio of corresponding sides of similar figures is same.
Set up equal ratios and find the missing side:
VW/XY = UW/UYVW/119.6 = (105 + 175)/175VW/119.6 = 280/175VW = 119.6*280/175VW = 191.36Can someone please tell me the answer I’m struggling
A ladder 25m long leans against a vertical wall 7m height. How far is the foot of the pole away from the wall
Answer:
24m
Step-by-step explanation:
If we imagine this situation as a right angled triangle, 25m is the hypotenuse, 7m is the height and we need the base length
so by Pythagoras thorium we can say that [tex]\sqrt[2]{25^2 -7^2}[/tex]= base length
which is= 24
Please help I been stuck on this question for so long
Answer: 1/ 3 ^9
Step-by-step explanation:
Answer:
1/39
Step-by-step explanation:
3-9=1/39
The answer is 0ne over three exponent nine
A party is attended by n > 2 people. Prove that there will always be two people in attendance who have
the same number of friends at the party.
(The relation “is a friend of” is symmetric.)
It should be noted that there will always be two people in attendance who have the same number of friends at the party using the pigeonhole principle.
How to explain the informationThe pigeonhole principle states that if you have n pigeons and m pigeonholes, and n > m, then at least one pigeonhole must contain more than one pigeon.
In this case, we have n people at the party, and there are m = n - 1 possible numbers of friends that a person can have. This is because a person can either know 0, 1, 2, ..., or n - 1 other people.
Since n > m, the pigeonhole principle tells us that at least two people at the party must have the same number of friends.
Learn more about pigeonhole principle on
https://brainly.com/question/32616853
#SPJ1
At a certain college, 49% of the students are male and 51% are female. In addition, 20% of the men and
10% of the women are taking Japanese classes. The student is selected at random. If the selected student
attends Japanese lessons, what is the probability that the student is female?
Answer:
0.339, or approximately 33.9%
Step-by-step explanation:
We can solve this problem using Bayes' theorem. Let F denote the event that the selected student is female, and J denote the event that the selected student is taking Japanese classes. We want to find the probability of F given J, which we can write as P(F|J).
Using the law of total probability, we can decompose the probability of J as follows:
P(J) = P(J|F)P(F) + P(J|M)P(M)
where M denotes the event that the selected student is male. We can calculate the probabilities on the right-hand side of this equation as follows:
P(J|F) = 0.1 (from the problem statement)
P(F) = 0.51 (from the problem statement)
P(J|M) = 0.2 (from the problem statement)
P(M) = 0.49 (from the problem statement)
Plugging in these values, we get:
P(J) = 0.10.51 + 0.20.49 = 0.149
Now we can use Bayes' theorem to find P(F|J):
P(F|J) = P(J|F)P(F) / P(J)
Plugging in the values we calculated earlier, we get:
P(F|J) = 0.1*0.51 / 0.149 = 0.339
Therefore, the probability that the selected student is female given that they attend Japanese classes is 0.339, or approximately 33.9%.
Hope this helps!
Explain the process you would use to find the area of the shaded region. Then calculate the shaded region.
You may leave your answer in terms of m or round to the nearest tenth.
Given statement solution is :- To find the area of the shaded region, we first need to determine the shapes involved and their respective areas. A general process that you can apply to various scenarios, Identify the shapes , Break down the region, Calculate individual areas.
To find the area of the shaded region, we first need to determine the shapes involved and their respective areas. Without a specific diagram or description, I'll provide a general process that you can apply to various scenarios.
Identify the shapes: Examine the diagram and determine the shapes that make up the shaded region. These shapes can include rectangles, triangles, circles, or combinations of them.
Break down the region: If the shaded region consists of multiple shapes, break it down into simpler, recognizable shapes. This step is crucial for accurately calculating the total area.
Calculate individual areas: Determine the area of each shape by using the appropriate formulas. Here are some common formulas:
Rectangle: Area = length × width
Triangle: Area = (base × height) / 2
Circle: Area = π × radius²
Sum the individual areas: Add up the areas of all the individual shapes to find the total area of the shaded region.
For such more questions on Shaded Region Area
https://brainly.com/question/31408242
#SPJ8
Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
#SPJ1
the sum of triple the number j and 21
The expression 3j + 21 represents the sum of triple the number "j" and 21. It accounts for multiplying "j" by 3 and then adding 21 to the product. This equation allows us to calculate the desired sum when the specific value of "j" is known.
To find the sum of triple the number "j" and 21, we need to multiply "j" by 3 and then add 21 to the result.
Let's break it down step by step:
Multiply "j" by 3: This can be represented as 3 * j, or simply 3j.
Add 21 to the result: We take the product from step 1 (3j) and add 21 to it, resulting in 3j + 21.
In summary, the expression 3j + 21 represents the sum of triple the number "j" and 21. It accounts for multiplying "j" by 3 and then adding 21 to the product. This equation allows us to calculate the desired sum when the specific value of "j" is known.
for such more question on expression
https://brainly.com/question/4344214
#SPJ8
Let P(x) = -50x+20,000x-1,5000,000 represent the profit function for manufacturing a particular model of recreational
vehicle (RV) and x represent the number of RVS produced monthly. Use a compound inequality to state the range of the
number of RVs that need to be sold each month for the company to make a profit.
O 0
100
200
none of the answer choices
O 0
O 100
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.
The profit function is given by P(x) = -50x + 20,000x - 1,500,000.
To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:
-50x + 20,000x - 1,500,000 > 0.
Combining like terms, we have:
19,950x - 1,500,000 > 0.
Now, let's solve this inequality for x:
19,950x > 1,500,000.
Dividing both sides by 19,950, we get:
x > 1,500,000 / 19,950.
Simplifying the right side, we have:
x > 75.
The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
for such more question on range
https://brainly.com/question/30389189
#SPJ8
Enter the number that belongs in the green box
Using cosine Rule, the value of the requested angle is 33.12°
Since the three sides are given, we use the Cosine rule :
Cos A = (b²+c²-a²) /2bcHence,
CosA = (10²+4²-7²) / (2 × 10 × 4)
Cos A = 67/80
Cos A = 0.8375
A = [tex] {cos}^{ - 1} (0.8375)[/tex]
A = 33.12
Therefore, the value of the missing angle is 33.12
Learn more on cosine Rule : https://brainly.com/question/23720007
#SPJ1
Which is the most suitable to measure the length of a rugby field?
Answer:
12 km (565m)
Step-by-step explanation:
For the function f(x, y) = 3x + 4y - 8, please find the value of f(2,-1).
Answer:
-6
Step-by-step explanation:
Simply substitute x = 2 & y = -1 into the function:
[tex]f(2,-1) =[/tex] [tex]\\\sf{3x + 4y - 8[/tex]
[tex]3(2) + 4(-1) - 8[/tex]
[tex]6 - 4 - 8[/tex] = -6
Therefore, the value of f(2, -1) for the function f(x, y) = 3x + 4y - 8 is -6.
-------------------------------------------
More examples: https://brainly.com/question/27195872
A triangle LMN with ln = 12 cm,Nm= x cm, Nk = 6cm and Km 8cm
Calculate the value of
(i) x
(ii) o
The value of x is 9 cm, and angle O is 0 degrees.
To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:
(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:
c^2 = a^2 + b^2 - 2ab * cos(C)
In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:
LN = 12 cm
NK = 6 cm
KM = 8 cm
Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.
Using the Law of Cosines, we can write the equation for side NM (x):
x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)
We don't know the value of angle N yet, so we need to find it using the Law of Sines.
(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:
sin(A) / a = sin(B) / b = sin(C) / c
In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.
We can write the equation for angle O:
sin(O) / 8 = sin(N) / 6
Now, let's solve these equations step by step to find the values of x and angle O.
To find angle N, we can use the Law of Sines:
sin(N) / 12 = sin(180 - N - O) / x
Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:
sin(N) / 12 = sin(O) / x
Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):
sin(N) / 12 = (6 / 8) * sin(N) / x
Now, we can solve this equation for x:
x = (12 * 6) / 8 = 9 cm
So, the value of x is 9 cm.
To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:
sin(O) / 8 = sin(N) / 6
sin(O) / 8 = sin(O) / 9
9 * sin(O) = 8 * sin(O)
sin(O) = 0
This implies that angle O is 0 degrees.
Therefore, the value of x is 9 cm, and angle O is 0 degrees.
For more questions on Law of Cosines, click on:
https://brainly.com/question/30766161
#SPJ8
The figure for the given question is provided here :
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
For more such questions on semi-annually
https://brainly.com/question/30573341
#SPJ8
Given a circle of radius 21cm correct to the nearest cm. What is the possible maximum error when calculating its area?
Answer:
:)
Step-by-step explanation:
This is a calculus problem that involves using differentials to estimate the maximum error in the area of a circle given the error in its radius. According to 1, the errors are related by ΔA=drdAΔr=2πrΔr
Therefore, Δr=2πrΔA
If the radius is 21 cm correct to the nearest cm, then the possible error in the radius is ±0.5 cm. Using this value in the formula above, we get ΔA=2π(21)(0.5)≈65.97 cm2
This is the possible maximum error when calculating the area of a circle with radius 21 cm correct to the nearest cm.
Using a scale of 2 cm to 1 metre on the horizontal axis and 2 cm to 500 on the vertical axis, draw a graph of the information.
To create a graph, label the horizontal axis from 0 to 8 cm (1 cm = 0.5 m) and the vertical axis from 0 to 2 cm (1 cm = 500). Plot the points (2m, 400) as (4 cm, 1.6 cm) and (4m, 200) as (8 cm, 0.8 cm), then connect them with a line.
To create a graph with the provided scale, follow these steps:
1. Establish the horizontal axis: Label the axis from 0 to 8 cm, where each mark represents 1 meter. This means that 2 cm on the graph corresponds to 1 meter.
2. Set up the vertical axis: Label the axis from 0 to 2 cm, where each mark represents 500. This implies that 2 cm on the graph corresponds to 500.
3. Convert the given data points to fit the graph's scale:
For the point (2m, 400):
On the horizontal axis, 2 meters will be represented by 4 cm.
On the vertical axis, 400 will be represented by (400/500) * 2 cm = 1.6 cm.
For the point (4m, 200):
On the horizontal axis, 4 meters will be represented by 8 cm.
On the vertical axis, 200 will be represented by (200/500) * 2 cm = 0.8 cm.
4. Plot the converted points on the graph:
Place a point at (4 cm, 1.6 cm) to represent the point (2m, 400).
Place a point at (8 cm, 0.8 cm) to represent the point (4m, 200).
5. Connect the points with a line:
Draw a straight line to connect the two plotted points.
By following these steps, you will create a graph that visually displays the relationship between the given data points, adhering to the specified scale. Remember to provide appropriate titles and labels for the graph axes.
For more such information on: graph
https://brainly.com/question/19040584
#SPJ8
PLEASE HELP I KEEP GETTING DIFFERENT ANSWERS.
I don’t understand what find three ratios for the marked angle but do not solve means.
For question 3.) The three ratios for the marked angle would be =9.45:sin90°, 5:sinB, 8:sinA
How to determine the ratio of the given triangle above?For question 3.)
To determine the three ratios, the sine rule needs to be obeyed and the formula is written below as follows;
Sine rule:
a/sinA = b/sinB = c/sinC
where;
a = 8
A = sinA
b = 5
B = SinB
c = 9.45
C = Sin 90°
The three ratios;
= 9.45:sin90°; 5:sinB; 8:sinA
Learn more about triangle here:
https://brainly.com/question/28470545
#SPJ1
(-2x + 10) (-9x + 5)
Assuming that you want this to be expanded, simply multiply each term in the first set of parentheses with each term in the second parentheses:
(-2x + 10) (-9x + 5)
18x^2 - 10x - 90x + 15
18x^2 - 100x + 15
If the question, instead, is asking you to find the x-intercepts, set the expression to zero and solve:
0 = (-2x + 10) (-9x + 5)
0 = -9x + 5 <- divide -2x+10 on all sides
5/9 = x
OR
0 = -2x + 10
5 = x
Answer:
(-2x + 10) (-9x + 5) is a polynomial expression that represents the product of two binomials. To solve this expression, you can use the FOIL method, which stands for First, Outer, Inner, Last.
FOIL method:
First: multiply the first terms of each binomial (-2x and -9x) to get 18x^2
Outer: multiply the outer terms of each binomial (-2x and 5) to get -10x
Inner: multiply the inner terms of each binomial (10 and -9x) to get -90x
Last: multiply the last terms of each binomial (10 and 5) to get 50
Then, combine like terms to get the final expression:
(-2x + 10) (-9x + 5) = 18x^2 - 100x - 90x + 50 = 18x^2 - 190x + 50
Step-by-step explanation:
Brainliest Plss
Solve the triangle 15 points
The measure of the angle B is 32. 0 degrees
How to determine the measuresTo solve the given triangle, we need to know the different trigonometric identities and their ratios.
We have that these identities are;
sinetangentcotangentsecantcosecantcosineFrom the information given, we have that;
Opposite side of angle B = 5
Hypotenuse side = 9.43
Using the sine identity, we get that;
sin B = 5/9.43
Divide the values, we have;
sin B= 0.5302
Find the inverse value of the sine identity and then substitute
B = 32. 0 degrees
Learn more about trigonometric identities at: https://brainly.com/question/7331447
#SPJ1
One the angles in an isosceles triangle is 74. What could the other two angles be
Hello!
So the 2 angles of the base are equal, so:
If 74° = the angle of the vertex of the triangle:(180 - 74)/2 = 53° one of the 2 angles
74°
/\
/ \
/ \
/ \
53° 53°
If 74° one of the two angles of the base:180 - 74*2 = 32°
32°
/\
/ \
/ \
/ \
74° 74°
So the others angles can be:
- 74° and 53°
- 74° and 32°
50 POINTS, pls hurry
Answer: it stand for 3 million or 3,000,000
Step-by-step explanation:
Answer:
million
Step-by-step explanation:
millions always have six 0's behind it
Determine the following estimate without using a calculator. Then use a calculator to perform the computation necessary to obtain an exact answer. How reasonable is your estimate when compared to the actual answer? Estimate the total cost of six grocery items if their prices are , , , , , and , by rounding each price to the nearest dollar and then adding.
a.
The estimated total cost of the grocery items is $36.
b.
The actual total cost of the grocery items is $35.82.
How do we calculate?for part a.
We will round each price to the nearest dollar:
$5.12 = $5
$3.07 = $3
$7.11 = $7
$1.67 = $2
$13.18= $13
$5.67 = $6
Summing them up, we have:
$5 + $3 + $7 + $2 + $13 + $6 = $36
the estimated total cost of the grocery items is $36.
for part b.
We will calculate the actual total cost of the grocery items by using a calculator:
$5.12 + $3.07 + $7.11 + $1.67 + $13.18 + $5.67 = $35.82
In conclusion, we will find the actual total cost of the grocery items as $35.82.
The complete question is added as an image
Learn more about actual total cost at:
https://brainly.com/question/29509552
#SPJ1
Henry is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
Answer:
446.95m²
Step-by-step explanation:
10+9+13.45=32.5
32.5x11=356.95
9x10=90
356.95+90=446.95
y = x²
y = 1,002x - 2,000
If (x₁, y₁) and (x2, y2) are distinct
solutions to the system of equations
shown, what is the sum of ₁ and ₂?
X1
Answer:
To find the sum of x₁ and x₂, we need to solve the system of equations:
y = x² ...(1)
y = 1,002x - 2,000 ...(2)
Since both equations are equal to y, we can set them equal to each other:
x² = 1,002x - 2,000
To solve this quadratic equation, we can rearrange it into standard form:
x² - 1,002x + 2,000 = 0
Now, we can factorize the equation:
(x - 2)(x - 1,000) = 0
Setting each factor equal to zero, we get two solutions:
x - 2 = 0 => x = 2
x - 1,000 = 0 => x = 1,000
Therefore, the values of x₁ and x₂ are 2 and 1,000, respectively.Therefore, the values of x₁ and x₂ are 2 and 1,000, respectively.The sum of x₁ and x₂ is:Therefore, the values of x₁ and x₂ are 2 and 1,000, respectively.The sum of x₁ and x₂ is:x₁ + x₂ = 2 + 1,000 = 1,002The sum of distinct solutions x₁ and x₂ to the system of equations y = x² and y = 1,002x - 2,000 is 1,002.
Explanation:The problem here involves finding the solutions to the system of equations. Those equations are y = x² and y = 1,002x - 2,000. To solve this system of equations, we can set the two equations equal to each other, because they both equal y.
So, we have: x² = 1,002x - 2,000. Rearranging, we get x² - 1,002x + 2,000 = 0. This is a quadratic equation, and we can solve for x using the quadratic formula: x = [1,002 ± sqrt((1,002)² - 4*1*2,000)] / (2*1). This will yield 2 solutions for x, let's call them x₁ and x₂.
The question asks for the sum of x₁ and x₂. In a quadratic equation ax² + bx + c = 0, the sum of solutions is given by -b/a. Here, a = 1 and b = -1,002, so the sum of solutions x₁ and x₂ is -(-1,002)/1 = 1,002.
Learn more about System of Equations here:https://brainly.com/question/35467992
#SPJ2
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The measure of angle D of the given Kite is: 127°
How to find the angle of the Kite?From the diagram, the figure represents a kite.
Properties of a kite are:
- Two pairs of adjacent sides are equal.
- Two diagonals intersect each other at right angles.
- The longer diagonal bisects the shorter diagonal.
- The angles opposite to the main diagonal are equal.
Thus:
The angle B = the angle D
The sum of all angles of a quadrilateral = 360
Given: ∠A = 36 and ∠C = 70
Thus:
2∠D = 360 - (36 + 70)
2∠D = 254
∠D = 127°
So, the measure of angle D = 127°
Read more about Kite Angle at: https://brainly.com/question/30388460
#SPJ1
20 26 28 25 28 18 23 15 17 26 29 24 29
29 17 15 17 20 30 29 16 21 22 28 19
Find Q1
Find Q2
Find Q3
Find the minimum and maximum value,
Based on the information, the minimum value is 15, and the maximum value is 30.
How to calculate the valueTo find Q1: Calculate the position of Q1 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (25).
Position = (22 + 1) * (25 / 100) = 5.75 (rounded to 6)
Take the average of the values at positions 6 and 7 to find Q1.
Q1 = (18 + 19) / 2 = 18.5
To find Q2 (the median): Calculate the position of Q2 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (50).
Position = (22 + 1) * (50 / 100)
= 11.5 (rounded to 12)
The value at position 12 is the median.
Q2 = 21
To find Q3: Calculate the position of Q3 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (75).
Position = (22 + 1) * (75 / 100) = 16.5 (rounded to 17)
Take the average of the values at positions 17 and 18 to find Q3.
Q3 = (28 + 29) / 2 = 28.5
The minimum value is 15, and the maximum value is 30.
Learn more about minimum value on
https://brainly.com/question/30236354
#SPJ1
The graph is/has
A. order 2 rotational symmetry about the origin
B. neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin
C. symmetry about the y-axis
D. odd
The graph has: A. order 2 rotational symmetry about the origin.
What is the order of rotational symmetry?In Mathematics and Geometry, the order of rotational symmetry of any geometrical shape can be defined as the number of times in which the geometrical shape can be rotated around a full (complete) circle and still look the same.
As a general rule in geometry, a geometrical shape with number of sides (n) has "n" lines of symmetry and its order of rotational symmetry is equal to "n."
Based on this rule, we can reasonably infer and logically deduce that the order of rotational symmetry for this graph is equal to 2.
Read more on order of rotational symmetry here: brainly.com/question/24279623
#SPJ1
the sum of angle of right angled pentagon is 450 degrees and the other side is 150 degrees what is the value of the other 3 angles
Answer:
To find the values of the other three angles in a pentagon given that the sum of all angles is 450 degrees and one angle is 150 degrees, we can use the fact that the sum of the angles in any polygon with n sides is (n-2) * 180 degrees.
Let's denote the other three angles as A, B, and C.
The sum of the angles in a pentagon is given as 450 degrees, so we have:
150 + A + B + C = 450
We know that the sum of the angles in a pentagon is (5-2) * 180 = 540 degrees, so we have another equation:
A + B + C = 540
Now we have a system of two equations with two variables. We can solve this system to find the values of A, B, and C.
The correct subtraction should be:
(150 + A + B + C) - (A + B + C) = 540 - 450
Simplifying the equation, we have:
150 = 90This equation is not valid, which means that the values given for the sum of angles and one angle are inconsistent with a pentagon. The sum of the angles in a pentagon should be 540 degrees. Please ensure the accuracy of the provided values.
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
For more such questions on distance visit:
https://brainly.com/question/30395212
#SPJ8
Please help, it’s due today thank you :)