A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.

Answers

Answer 1

The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.

Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.

Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

= [tex]\frac{11}{4}[/tex]

Tan θ = 2.75

θ = [tex]Tan^{-1}[/tex] 2.75

= 70.0169

θ = [tex]70^{o}[/tex]

Considering triangle formed by the tower and the stake to determine the value of l, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]70^{o}[/tex] = [tex]\frac{23}{l}[/tex]

l = [tex]\frac{23}{Cos 70^{o} }[/tex]

= [tex]\frac{23}{0.3420}[/tex]

l = 67.2515

l = 67 feet

The length of the guy wire is 67 feet.

For more on trigonometric, check: https://brainly.com/question/6459892

Related Questions

Please help me

20 points

Answers

Answer:

1). Simplify the expression.

Exact Form:

( [tex]\frac{37}{25}[/tex] )

Decimal Form:

1.48

Mixed Number Form:

( [tex]1\frac{12}{25}[/tex] )

2). Simplify the expression.

91.46

3). Simplify the expression.

Exact Form:

[tex]\frac{17}{24}[/tex]

Decimal Form:

0.7083 ( bar notation)

4). Simplify the expression.

81.49

A machine cuts a strip of carpet into 2 pieces. the length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (A, 13.5 B, 14 C, 20 D, 28) meters and the total length of the carpet is (A- 25.5, B- 26, C- 32, D- 40) meters

Answers

Answer:

The answer to the is 28 and 40! hope this helps love

How does the graph of g(x) = [tex](x+12)^{2}[/tex] relate to the graph of f(x) = [tex]x^{2}[/tex]

Answers

Answer:

Horizontal translation of the parent graph

Step-by-step explanation:

Definitions:

In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:

(h, k) = vertex of the grapha = determines the width and direction of the graph's opening.

A horizonal translation to the parent graph is given by, y = f(x - h), where:

h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the left

In the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).

While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).

Answers:

Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:

g(x) = a(x - h)² + k

g(x) = [x - (-12)]² + 0

g(x) = (x + 12)² + 0

g(x) = (x + 12)²

Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.

PLS WHAT IS THE REAL ANSWWR ASAP

Answers

the answer is t<-48

i hope this helped you if you need the explanation lmk

A cube has volume 1331cm3. Calculate the length of one edge of the cube.

Answers

Answer:

answer=11 cm.

Step-by-step explanation:

V = Volume of cube

a = edge

Formula of volume of cube:

V = a³

[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]

The length of each edge is 11 cm.

Is -5/2 greater than 3?

Answers

Answer:

No -5/2 is not greater than three.

Step-by-step explanation:

You could solve this without doing any math. You know that a negative divided by a positive is still a negative and that negative numbers are never greater than positive numbers so therefore you got the answer. No, -5/2 is not greater than positive 3.

Answer:

Step-by-step explanation:

[tex]-\frac{5}{2}[/tex] is not greater than 3; it is less than 3. Positives are greater than negatives. To know if an integer is negative, you should see something like this: - in front of the number.

Positive integers don't have a plus sign in front of it because we already assume it is there.

Hi again could you help me please
Find the area of the composite shape.

Answers

Answer:

For the one on the far left its 104 m2

Step-by-step explanation:

u split the shape in a square and rectangle

them u fin the area of the square by multiplying both sides. (8*8)

then u find the area of the rectangle by using the formula

2*(16+4)

when u find both areas u count them up and it'll become 104 m squared

plz help ill give brainliesy

Answers

Answer:

0.02a

Step-by-step explanation:

Since 0.02 is equal to 2 cents, he would get 0.02a annually. This is because a represents the income from interest and 0.02 is the amount of money made for interest.

100 if u get this right ty have a nice day!

Answers

Answer:

Step-by-step explanation:

2+4 over 2

x 3

= 9

Simplify. 54+4(3/4−1/2)2

Answers

Answer:

Step-by-step explanation:

54 + 4(3/4 − 1/2)2

=> 54 + 4(1/4)2

=> 54 + (1)2

=> 54 + 2

=> 56

Therefore, 56 is our answer.

Hoped this helped.

A recipe requires 2/5 cup of sugar for 1 batch of brownies enter the number of batches of brownies that can be made using 3 1/5 cups of sugar

Answers

Answer:

8 batches

Step-by-step explanation:

You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.

Given isosceles AHIJ where HIIT, MZH = (3x + 10)", and mZ1 = (6x – 20)", find the measures of angles H, I and J.

Answers

Answer:

110 degrees I think

Step-by-step explanation:

what is halfway between 140,000 and 150,000

Answers

Answer:

145000

Step-by-step explanation:

(150000-140000)÷2=10000÷2

=5000

140000+5000=145000

Answer:

145,000

Step-by-step explanation:

To find halfway between two numbers is the same as finding the mean of two numbers.

140,000+150,000=290,000

290,000/2

=145,000

Hope this helps :)

Solve.

x−(−256)=−15

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.

x =

Answers

Step-by-step explanation:

[tex]x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271[/tex]

State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.

refer to attachment

Answers

Answer:

SU ≅ RPΔPQR ≅ ΔUTS

Step-by-step explanation:

For SSS congruence, all three pairs of sides must be marked as congruent. That is, there needs to be 3 hash marks on sides SU and RP. (Note the order of the vertices.)

needed: SU ≅ RP

If we label the triangles in order by hash marks, the congruence statement becomes ...

ΔPQR ≅ ΔUTS

what is the slope of the line?

Answers

Answer:

The slope is 3 or 3/1

Step-by-step explanation:

evaluate the function h(x) = |-2x|-9 for the given values of x a) h(4)=. b) h(-5)=. c) h(0) =

Answers

Answer:

h(4) = -1 ; h(-5) = 1 h(0) = -9

Step-by-step explanation:

a) h(x) = |-2x| - 9 Substitute x = 4

h(4) = | -2 · 4| - 9

h(x) = | -8| - 9

h(4) = 8 - 9

h(4) = -1

b) h(x) = |-2x| - 9 Substitute x = -5

h(-5) = |-2 · -5| - 9

h(-5) = |-10| - 9

h(-5) = 10 - 9

h(-5) = 1

c) h(x) = |-2x| - 9 Substitute x = 0

h(0) = |-2 · 0| - 9

h(0) = |0| - 9

h(0) = 0 - 9

h(0) = -9

In the diagram below segment AC is congruent to segment CE and segment BC is congruent to segment DC.
Why is triangle BCA congruent to triangle DCE?
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

By reflection

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Question 12 Objective: Given an acute angle of a right triangle, label the hypotenuse, opposite, and adjacent sides. What side is opposite to angle R? What side is adjacent to angle R? R S

Answers

Answer:

Opposite: Line SQ

Adjacent: Line SR

Hypotenuse: Line RQ

Step-by-step explanation:

simplify the expression: -4x + 8 + 7x - 10
Help PLSSS.

Answers

3x-2 because u combined like terms (7x and -4x) then (-10 and 8) to get 3x-2

A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.

Draw the normal curve

What range of hours constitutes 96% of light bulb hours of life?

Between 300 and 700 hours

Less than 600 hours

Answers

Answer:

C. 97.1 should be your answer

Step-by-step explanation:

The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?

Answers

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.

Assuming that the jet cruises at this constant speed, how long do the pilots' watches measure for a complete circumnavigation of the globe? the radius of the earth is about 6380 km.

Answers

Speed = distance/time
Constant speed means no acceleration so this formula can be used
The question says THIS constant speed so I’m assuming in an earlier part of the question you are told the speed at which it cruises.
Therefore,
Using the speed given
Speed divided by 6380km =time

EASY POINTS
2+2=?
4+4=?
6+6=?

Answers

Answer:

Below

Step-by-step explanation:

2+2 = 4

4+4= 8

6+6=12

Someone plz help me :(

Answers

Answer:

I think it's D

Step-by-step explanation:

Their talking about "the difference", and since we all know difference with numbers mean subtraction. So it is 150-99 I'm sure.

Simplify (5p+1.49)-(2p+6.49)
Thank you!

Answers

5p+1.49-2p-6.49
Combine like terms
3p+1.49-6.49
=3p-5

help with this question

Answers

Answer:

Step-by-step explanation:

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

1/4

Step-by-step explanation:

use 2 points from the graph (-4,5) and (0,6) and put them in the distance equation.

(y2-y1)

----------

(x2-x1)

6-5

-------

0-(-4)

1/4

g(t) = (t-10) (t+1)
1) What are the zeros of the function?

Answers

Step-by-step explanation:

Write properties of function:

x intercept/zero: ; T1= -1 and T2=10

vertex form: g(t)= (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

Explanation Write properties of function: Write properties of function:

x intercept/zero: ; t1=-1, and t2=10

vertex form: (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

hope this helped

Teddy
1House A is twice as tall as House B. How tall is House B?
House
Height (ft)
A
24
B

Answers

How tall is house a? If a is 24 ft tall than B is 48 ft tall

Answer:

Step-by-step explanation:

House A is 24. So divide it by two to get 12. Which is house B

Other Questions

subtract (6x^2+5) - (4x-3) What do you measure the amount of water in a vase Think up and write down a small number of queries for a web search engine.Make sure that the queries vary in length (i.e., they are not all one word). Tryto specify exactly what information you are looking for in some of the queries.Run these queries on two commercial web search engines and compare the top10 results for each query by doing relevance judgments. Write a report that answers at least the following questions: What is the precision of the results? Whatis the overlap between the results for the two search engines? Is one search engineclearly better than the other? If so, by how much? How do short queries performcompared to long queries? What are the major theories of the origin of the state? Which do you find most convincing and why? 6. Write the equation of the parabola in vertex form.A. y = x2B. y = 1/4x^2 + 1C. y = 1/4x^2D. y = 1/4( x - 2)^2 + 1 I need help with question 5 Which three beliefs made Lutherans different from Catholics? Which of the following is in Romantic Era? *Wilhelm Richard WagnerClaude DebussyArnold SchoenbergJoseph-Maurice Ravel Homer is never imitated in the novel Joseph Andrews.True False (4 x 100,000) + (6 x 10.000) = please answer pls im begging chapter testChoose the sentence that is written correctly.A) Jeff has two brothers and one sister.B) Jeff has two brothers and one sister.C) Jeff has two brothers and "one sister."D) Jeff has two brothers and one sister. A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary. Find the length of the third side. If necessary, write in simplest radical form. What is the freezing point, in Celsius, of a sucrose-water solution containing 2.23g sucrose per 100g water. The molal freezing point depression constant for water is 1.86oC/m. A major task in speaking to a favorable audience is the creation of personal involvement, which the authors indicate should be done through: What is the slope of the line?7x + 2y=5 A. 7/2B. -7/2C. -2/7D. 2/7 Which of the following is NOT part of the non-specific immune response?A. InflammationB. PhagocytosisC. AntibodiesD. Interferons Without calculating, explain how you can tell if the value of the expression (-2.37) - (.7.91) - (2.45)? According to the elaboration likelihood model, persuasion occurs through the ________ routes. a. dissonant and consonant b. central and peripheral c. implicit and explicit d. emotional and rational The total cost of 1 pencil and 2 erasers is 8, and the total cost of 2 pencils and 4 erasers is 20, as shown below:Let the cost of 1 pencil be x, and the cost of 1 eraser be y. Write two linear equations in x and y: