HELP PLS! A boat is heading towards a lighthouse, whose beacon-light is 102 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 13^{\circ}

, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 22^{\circ}

. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer 1

Answer:

Distance from point AA to point BB = 189.3 feet

Step-by-step explanation:

Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;

distance from point AA to point BB = x - y

To determine the value of x, applying the required trigonometric function;

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

Tan 13 = [tex]\frac{102}{x}[/tex]

x = [tex]\frac{102}{Tan 13}[/tex]

  = 441.81 feet

x = 441.8 feet

To determine the value of y;

Tan 22 = [tex]\frac{102}{y}[/tex]

y = [tex]\frac{102}{Tan 22}[/tex]

  = 252.46

y = 252.5 feet

Thus,

distance from point AA to point BB = 441.8 - 252.5

                                                           = 189.3 feet


Related Questions

The graphs of f(x) and g(x) are shown below.
o o
00
f(x)
4
2
5
21
2
-2 -1
-2
3
-4
g(x)
-6
-8
-12
-147
What are the solutions to the equation f(x) = g(x)?

Answers

F(x) = g(x) is the x- coordinate of the point where the graphs of the functions intersect. Create a table of values to find the point of intersection. The two functions intersect at the point (3,44). Therefore, the solution to the equation is x=3.

HELLPPPP YALLLLLLLLK ASAPPPPP

Answers

4) Let the number be : N

Given : 10% of this number is 25

[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]

[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]

[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]

[tex]\sf{\implies N = 250}[/tex]

Now we need to find 60% of 250

[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]

[tex]\sf{\implies 6 \times 25}[/tex]

[tex]\sf{\implies 150}[/tex]

5) Given : James left the home at 10 : 00 AM

First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.

So, James reached the skate park 10 : 15 AM

Second : They stayed at the skate park for an hour

So, till 11 : 15 AM James and Tom were at skate park

Third : Then they will take a 10 minutes walk over to the Burger bar

So, James and Tom reached the Burger bar at 11 : 25 AM

6) First let us find 75% of 80

[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]

[tex]\sf{\implies 15 \times 4}[/tex]

[tex]\sf{\implies 60}[/tex]

Now let us find 40% of 30

[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]

[tex]\sf{\implies 12}[/tex]

Now, (60 - 12) = 48

Answer: 75% of 80 is 48 greater than 40% of 30

7) Given : Journey to school takes 70 minutes

We know that : 1 hour = 60 minutes

So, 70 minutes = 1 hour + 10 minutes

Given : Boy leaves the home at 0715

Answer: The Boy arrives at 0825

A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?

Answers

Answer

8,98

Step-by-step explanation:

the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs

Marie made lasagna for dinner. She ate 1/6 of it, Morris ate 1/3 of it, and Larry ate 1/4 of it. How much of the lasagna was left?

Answers

Answer:

1/12 of the lasagna was left

Step-by-step explanation:

To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).

Answer:

[tex]\frac{1}{4}[/tex] of the lasagna

Step-by-step explanation:

[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]

4 = 2 × 2

3 = 3

6 = 2 × 3

LCM = 2 × 2 × 3

LCM = 12

4 × 3 × 6 = 72

[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]

[tex]\frac{18+12+24}{72}[/tex]

[tex]\frac{54}{72}[/tex]

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

GCF = 2 × 3 × 3

GCF = 18

[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]

[tex]1-\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]

2x-1+3x=0 5x-1=0 how can we get equation b from a

Answers

2x - 1 + 3x = 0
2x + 3x - 1 = 0
(2 + 3)x - 1 = 0
5x - 1 = 0

Rewrite one side (or both) by combining like terms.

What is equation?

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x – 1 + 3x = 0..........(A)

5x – 1 = 0................(B)

To get Equation B from A, we would rewrite one side (or both) by combining like terms

2x – 1 + 3x = 0

5x – 1 = 0

Learn more about equation here:

brainly.com/question/10413253

#SPJ7

Type the missing number in this sequence: 10, 100, 1,000, 10,000,​

Answers

Answer:

10, 100, 1,000, 10,000, 100,000

If you are adding one zero in the end for every number, then 100,000 will be your next number

10, 100, 1,000, 10,000, 100,000, 1,000,000, and so on.

To get the next number in the sequence, all you need to do is add one 0 to the end of the last digit.

can someone pls help for brainlest

Answers

answer:
455 square kilometers
step-by-step explanation:
a = l • w
24 • 24
576
because there is a space where it isn’t shaded we have to find the area of that as well
11 • 11
121
now just subtract
576 - 121
455

Answer:

455 square kilometers (km2)

Step-by-step explanation:

Step 1: Find the area of the white square: 11 km x 11 km= 121 km2

Step 2: Find the area of the green square: 24 km x 24 km= 576 km2

Step 3: Subtract the white square from the green square: 576-121= 455

Step 4: The answer is 455 square kilometers (km2). Hope this helped!

If a letter was chosen at random from the word SPORTSMANSHIP, which of the following is closest to the probability that it would be a vowel?

Answers

There are 3 vowels out of 13 letters
P(vowel) = 3/13

pls help me i need to hand in this project today

Answers

Answer:

it is too fine i cant really see the work

i don’t know you can’t see it

Solve for b. -11b+7 =40 what does b equal

Answers

Answer: b=-3

-11b+7=40
-7 -7
-11b=33
divide by -11 on both sides
b=-3

Explanation: In order to solve for x, you need to subtract 7 on both sides and then divide by -11 on both sides. You should get b=-3.

Find the range of the data.
The ages of kids playing at a park.
4,1, 3, 9, 6, 3, 2, 4
Range : ?
?]
Enter the number that helongs in the araon boy

Answers

Answer:

8

Step-by-step explanation:

write numbers in numerical order then subtract the highest number from the lowest number and you get the range.

(1,2,3,3,4,4,6,9)

9 - 1 = 8

A right triangle has side lengths d, e, and f as shown below use these lengths to find sinx, cosx, and tanx

Answers

Answer:

sinx= d/f

cosx= e/f

tanx= d/e

Need answer fasttt
Find the volume of a pyramid with a square base, where the side length of the base is
11.5 in and the height of the pyramid is 6.7 in. Round your answer to the nearest
tenth of a cubic inch.

Answers

Answer:

295.4 [tex]in^3[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3}(b)^2(h)\\\\ =\frac{1}{3} (11.5)^2(6.7)\\\\=\frac{1}{3}(135.25)(6.7)\\\\[/tex]

= 295.358

≈ 295.4

Solve the system by substitution.
2x – 3y = 38
-x – 6 = y

Answers

Answer:

x=19,0

y=0,-38/3

Step-by-step explanation:

Answer:

x = 4, y = -10

Step-by-step explanation:

-x - 6 - y = 0

-x - y = 6

2x - 3y = 38, -x - y =6

2x - 3y = 38

2x = 3y + 38

Divide both sides by 2

x = 1/2(3y+38)

Multiple 1/2 times 3y + 38

x= 3/2 y + 19

-(3/2y + 19) -y =6

-3/2y - 19 - y = 6

-5/2y -19 = 6

-5/2y = 25

y = -10

x = 3/2(-10) + y

x = -15 + 19

x = 4

x = 4, y = -10


If a = 3 inches and c= 5 inches, what is the measure of b?
2 inches
3 inches
4 inches
8 inches

Answers

B is 4 inches i think

hope that helps

Combine like terms
1) 3y + 4y
2) -7( -4 - 2s)
3) 7f - 9f - 4
4) 9 + 7 + 6d + 2d
5) 7 + 9r + 3
6) -2(7 - 8s) - 4
7) q - 9q
8) -3( -2h + 6)
9) 3q + 9q - 4 + 2
10) 3 + 5(2d - 6)

Answers

Answer:

1.7y

2.-14s

3.-2f

4.23d

5.19r

6.-2s

7.-9q

8.24h

9.10q

10.23d

Step-by-step explanation:

I TRY MY BEST TO SOLVE IT

HOPE IT HELPS

CORRECT ME IF I AM WRONG

1. 7y

2. 28 + 14s

3. -2f - 4

4. 16 + 8d

5. 10 + 9r

6. -18+ 16s

7. -8q

8. 6h - 18

9. 12q - 2

10. 10d -27

Find the measure of AB

A. 20
B. 21
C. 22
D. 14

Answers

Answer:

[tex]CB.CA=CD .CK[/tex]

[tex]9(9+2x+5)=10(10+2x+1)[/tex]

[tex]9(2x+14)=10(2x+11)[/tex]

[tex]18x+126=20x+110[/tex]

[tex]126-110=20x-18x[/tex]

[tex]16=2x->x=8[/tex]

[tex]AB=2(18)+5[/tex]

[tex]=21[/tex]

So, your answer is B) 21

hope it helps...

Please I need help with this!!!!!!!

Answers

Answer:

Step-by-step explanation:

1). Step 4:

   [tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]

   [tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]

   [tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]

   Step 5:

   [tex]x=\sqrt[3]{(5)^3\times 5}[/tex]

   [tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   [tex](3x-1)^{\frac{1}{5}}=2[/tex]

   Step 1:

   [tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]

   Step 2:

   [tex](3x-1)=2^5[/tex]

   Step 3:

   [tex]3x=32+1[/tex]

   Step 4:

   [tex]x=11[/tex]

4). By substituting [tex]x=11[/tex] in the original equation.

   [tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]

                         [tex]=(2^5)^\frac{1}{5}[/tex]

                         [tex]=2[/tex]

There is no extraneous solution.

1). Step 4:

   x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31

   x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a

   x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5

   Step 5:

   x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5

   x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   (3x-1)^{\frac{1}{5}}=2(3x−1)51=2

   Step 1:

   (3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215

   Step 2:

   (3x-1)=2^5(3x−1)=25

   Step 3:

   3x=32+13x=32+1

   Step 4:

   x=11x=11

4). By substituting x=11x=11 in the original equation.

   (3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51

                         =(2^5)^\frac{1}{5}=(25)51

                         =2=2

There is no extraneous solution.

Fill in the blanks on the unit circle.
HELP ASAP

Answers

top left: -1/2 , rad 3/2
top right: rad 2/2, rad 2/2
small one on the right: 30
small one on bottom left: 225
bottom left: -1/2, rad 3/2
bottom right: 1/2, -rad 3/2

Which of the following is a fifth degree binomial?

Answers

Answer:

C)

Step-by-step explanation:

[tex]2xy^{2}-5y^{5}[/tex]

Binomial should have two terms. Five degree binomial means highest degree of the binomial should be 5

what is the Quotient of 16.29÷100​

Answers

Answer:

~0.16

Step-by-step explanation:

quotient, i believe, is just the answer to a division problem. divide normally and u get 0.1629

Answer:

Maybe the answer is 0.1629

A line with a slope of 3 passes through the point (2, 6). What is its equation
in slope-intercept form?
please help i need my ixl done and i don’t understand this lesson

Answers

Answer:

I found: y=−3x+12

Explanation:

You can use the relationship:

y−y0=m(x−x0)

Where m is the slope and x0,y0 the coordinates of your point.

So with your data:

y−6=−3(x−2)

y=−3x+6+6

y=−3x+12

or:

3x+y=12

which point is a solution to the inequality shown in this graph


(0, 5)
(3, 2)
(-3, -6)
(5, 0)

Answers

Answer:

(0,5)

Step-by-step explanation:

if the point is graphed in the blue area then it is a solution to the inequality

Note: because the line is dashed points graphed on the line are not solutions

(0,5) is graphed in the blue region meaning that (0,5) is a solution to the inequality.

even though we may have found the answer let's check the rest just to be safe

(3,2) and (-3,-6) are graphed on the line

remember because the line is dashed points that fall on it are not solutions

therefore (3,2) and (-3,-6) are not Solutions

(5,0) when graphed is not in the shaded area and is therefore not a solution

we can conclude that a is the answer

Determine the area of a parallelogram if
its base is 16 cm and its height is 7 cm.

Answers

Answer: 112 square cm

=====================================

Work Shown:

area = base*height

area = 16*7

area = 112 square cm

----------------

Extra info (optional section):

The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.

Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.

a vertical stick is 8 cm high and the length of its shadow is 6 cm find the distance between the top of the stick and it's shadow​

Answers

Answer:

10

Step-by-step explanation:

8 and 6 are the numbers you work with

using the formula [tex]a^{2} + b^{2} = c^{2}[/tex]

we get : [tex]8^{2}[/tex] + [tex]6^{2}[/tex] = [tex]c^{2}[/tex]

64 + 36 = [tex]c^{2}[/tex]

100 = [tex]c^{2}[/tex]

[tex]\sqrt{100} = \sqrt{c^{2} }[/tex]

10 = c

The radius of a circle is 2 meters. What is the area of a sector bounded by a 135 degree arc? Give the exact answer in simplest form

Answers

Answer:

Area of circle bounded by a 135 ° arc is 4.71 m ²

Step-by-step explanation:

Given that :-

Radius of circle, r = 2 m

Angle of the circle , θ = 135 °

To Find :-

Area of circle bounded by a 135 ° arc.

Solution :-

Using Formula

Area of circle = θ/ 360 × π × r ²

substitute the values,

Area of circle = 135 /360 × 3.14 × ( 2 m) ²

solve it

Area = 27 / 72 × 3.14 × 4 m ²

Area = 27 / 18 × 3.14

Area = 1.5 × 3.14

Area = 4.71 m ²

Therefore, Area of circle bounded by a 135 ° arc is 4.71 m ²

Answer:

it's 3/2pi

Step-by-step explanation:

.

Help please help please

Answers

Answer:

12.57 in⠀⠀⠀⠀⠀

Answer:

12.56 inches

Step-by-step explanation:

A= pie x r^2

= 3.14 × 2^2

= 3.14 × 4

= 12.56

PLEASE HELP! WAYYY OVERDUE!!!
Look at the box plots and decide whether each team's distribution is symmetric or skewed negatively or positively.

Answers

Answers:

Red = negative skewYellow = symmetricBlue = positive skew

================================================

Explanation:

A symmetric distribution is where we have the left half be a mirror copy of the right half. In other words, we have symmetry going on.

For the yellow team, note the distance between Q1 and the median is 1 unit (47-46 = 1), and so is the distance from the median to Q3  (48-47 = 1). So the box portion has perfect symmetry. You should find that the whiskers are also perfectly symmetric as well using a similar technique of finding the distances and comparing them.

Overall, the entire box-and-whisker plot for the yellow team is perfectly symmetric.

---------------

If a distribution isn't symmetric, then it's skewed in some way. If the right side is pulled longer than the left, then we consider it "skewed to the right" aka "positively skewed". So that applies to the blue team. The red team has negative skew because its left tail is longer than the right tail.

Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Answers

Answer:

No.

Step-by-step explanation:

33^2 + 56^2 is not equal to 66^2. I squared these numbers because that is how I can find out and see if the Pythagorean Theorem (a^2 + b^2 = c^2) is true for this.

Answer:

no , it is not a right triangle.

Step-by-step explanation:

according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.

Here , 66 is largest side so it is hypotenuse and other two sides are the legs of the triangle.

pythagoras theorem:

a^2 + b^2 = c^2

33^2 + 56^2 = 66^2

1089 + 3136 = 4356

4225 = 4356

since both sides are not equal it can be concluded that the given side lengths does not form right triangle.

6,347.2184 to the nearest thousandth

Answers

Answer: 6347.218

Step-by-step explanation:

Answer:6,347.218

Step-by-step explanation:

look at the thousandths place and then look at the number next to it if the number was 5 and above the answer would be 6,347.219 but in this situation it's not so you would keep everything the same but subtract the 0.0004

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