Peggy is laying 60 ft from the base of a tree. The angle of elevation for her to see
the top of the tree is 50º. Use a trigonometric ratio and calculator to find the
height of the tree to the nearest tenth of a foot.

Answers

Answer 1

Answer:

The height of the tree is approximately 71.5 feet

Step-by-step explanation:

The given parameters are;

The angle of elevation to see the top pf the tree = 50°

The distance Peggy is laying from the base of the tree = 50 ft.

In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground

Therefore, the line of sight to the top of the tree,  the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle

Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying

The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;

θ = 180° - 90° - 50° = 40°

θ = 40°

By sine rule we have;

h/sin(50°) = d/(sin θ)

∴ h/sin(50°) = 60 ft./(sin 40°)

h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.

∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth


Related Questions

i need help with this question please hurry it is almost due!

Answers

Answer:

I see nothing tho

Step-by-step explanation:

12.25 no time to explain HURRY

(20 POINTS) Will Give Brainliest If You Explain Your Answer:
The table represents the linear function f(x), and the equation represents the linear function g(x).
Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.


x f(x)
0 1
2 9
4 17

g(x) = 3x + 1

A. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
B. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
C. The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
D. The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Answers

The correct answer the slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x)

What color is a carrot

Answers

Answer:

uh i think its a carrot uh

Step-by-step explanation:

uhh

Answer:

joe biden

Step-by-step explanation:

Simplify the following:
a) 49 x 43
b) 69 x 62
c) 88 = 8
d) 78 - 76
I’ll give brainliest

Answers

Answer:

a) 2107

b) 4278

c)false equation but gessing its a + IT IS 96 or a - =80

d) 2

Step-by-step explanation:

a) 2107   b) 4278 c)  i dont think anything can be done with this  d)2 hope this helps,

Find the difference of 58.2–27.674.
a. 30.652
b. 30.526
c. 35.026
d. 35.620

Answers

Answer:

B

Step-by-step explanation:

You just subtract

Please help me solve this

Answers

Answer:

1st pic:

x = 60

y = 50

2nd pic:

y = 8

∠W = 28

∠Y = 128 degrees

∠X = 24

Step-by-step explanation:

first pic:

to find x, subtract 120 from 180 ⇒ 180 - 120 = 60

to find y, add 60 & 70 & subtract the sum from 180 ⇒ 180 - (60 + 70) = 50

2nd pic:

to find ∠Y, subtract 52 from 180:

180 - 52 = 128

to find y, use the following equation:

3y + 4y - 4 + 128 = 180

combine like terms:

7y + 124 = 180

subtract 124 from each side:

7y + 124 - 124 = 180 - 124

7y = 56

divide 7 on both sides:

[tex]\frac{7y}{7} = \frac{56}{7}[/tex]

y = 8

now we can find angles W and X

∠W = 4y - 4

we know that y = 8 so just substitute 8 for y

∠W = 4 x 8 - 4

∠W = 28

∠X = 3y

likewise, subtitute 8 for y

∠X = 3 x 8

∠W = 24

to check, add all angles and if they add up to 180, then its right:

24 + 28 + 128 = 180

180 = 180

Step-by-step explanation:

here's your solution

=> for first figure , (x + 120° ) = 180° [ linear pair]

=> x = 180° - 120°

=> x = 60°

=> now , we know sum of all angles of traingle = 180°

= >so, 60° + 70° + y = 180°

=> y= 180° - 130°

=> y = 50

now in figure second

=> 4y - 4 + 3y = 52° [ exterior angle equal to sum of two opposite interior

=> 7y - 4 = 52°

=> 7y = 52° + 4°

=> 7y = 56°

=> y = 56°/7

=> 8°

hope it helps

please heLP I dont know any of this sadly.

Answers

Answer:

D

Step-by-step explanation:

pi = 3.14

r = 3

3.14 x 3x^2

= 28.26x^2

The answer :

the last one

Step-by-step explanation:

diameter = 6x so radius = 3x

3.14 * 3x * 3x = 28.26 x

the track team has 21 members the ratio of boys to girls 3:4 how many girls are on the track team

Answers

Answer:

12

Step-by-step explanation:

Add 3 to 4, you get 7. Divide 21 by 7. Multiply by 4.

I need help thank you

Answers

Answer:

30 - 60 - 90

Step-by-step explanation:

You are planning a trip of 900 miles. Your car gets about 21 mpg. Gasoline costs $1.59 per gallon. How much should you budget for gas on this trip? Round answer to the nearest ten (10)

Answers

Answer:

$64.3

Step-by-step explanation:

Given the following

Total distance = 900miles

Rate per gallon = 21miles per gallon

rate = distance/time

Get the number of gallons used;

Number of gallons used = 900/21

Number of gallons = 42.857gallons

If coost of 1 gallon is $1.50

42.857gallons will cost 42.857 * 1.50

42.857gallons will cost $64.3

Hence he should budget $64.3 for the trip

I need this quick!!What is the surface area of the square pyramid?
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Answers

Answer:

Im pretty sure its 16.64

Step-by-step explanation:

Please Help!! I will give 50 points and brainliest..
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Answer:

okey i will help you what is that

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Answer:

Step-by-step explanation:

sure ig (:

Answer:

She told me put my heart in the bag (In the bag)

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

34 and m=7...

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Answers

Answer:

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Step-by-step explanation:

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Which of the following quadrilaterals meet all the criteria for parallelograms? Select all that apply.

Square
Rectangle
Trapezoid
Rhombus
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Answers

i believe the answer is rhombus and square!

have a nice day :)

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Answers

Answer:h=e-200/3

Step-by-step explanation:

Tomas is packing 7 baskets for a fair. He is placing 8 apples in each basket.How many apples are there

Answers

56 apples

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Answer:

There are 56 apples

Step-by-step explanation:

Multiply the number of apples by the number of baskets.

7 × 8 = 56

Hope this Helps!

:)

(A/N If you don't know please don't answer. I need this for extra credit)
The Image below is the question



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112°

158°

136°

68°

Answers

Answer:

A. 112°

Step-by-step explanation:

Angles QPS and QRS are supplementary as opposite angles of a cyclic quadrilateral.

Supplementary angles sum to 180°.

m∠QPS = 180° - m∠QRSm∠QPS = 180° - 68°m∠QPS = 112°

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Answers

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Step-by-step explanation:

First, write out all of the numbers from least to greatest.

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

2, 3, 5, 7, 11, 17, 19, 23

Step-by-step explanation:

The segment between  - 15 and 25 has 40 numbers given by

25 - -15

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2nd segment is from -5 to 5 (which is -5 + 10)

3rd segment is from 5 to 15 (which is 5 + 10)

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Answers

Answer:

There is no equal sign.

Step-by-step explanation:

There is no equal sign to make it an algebraic equation.

Answer:

15+1/2

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I will mark brainliest

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Step-by-step explanation:

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Answers

Answer:

2 3/8 is the answer

Step-by-step explanation:

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Answers

Answer:

good luck with maths! i know it can be tricky

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Place Value Chart

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Solve the following system

y=1.6x
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Answers

Answer:

The answer is (16.538461(repeated), 26.461538(repeated))

Answer:

x=16.538462 and y=26.461538

Find the simple interest and amount when principal = Rs. 6000, rate = 6% per annum and time = 4 years

Answers

Given:

Principal = Rs. 6000

Rate of simple interest = 6% per annum.

Time = 4 years

To find:

The simple interest and amount.

Solution:

Formula for simple interest:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest and t is the number of years.

Putting P=6000, r=6 and t=4, we get

[tex]I=\dfrac{6000\times 6\times 4}{100}[/tex]

[tex]I=60\times 6\times 4[/tex]

[tex]I=1440[/tex]

Now,

[tex]Amount=Principal+Interest[/tex]

[tex]Amount=6000+1440[/tex]

[tex]Amount=7440[/tex]

Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.

please help me with this i’ll give you 15 points

Answers

Answer:

yes he is right

Step-by-step explanation:

Answer:

Yes he is!

Step-by-step explanation:

If you need the probability of both answers, convert 4/10 ( or 0.4 ) to 40/100 and 0.25 stays 25/100 and if you add 25 + 40 you get 65 so 0.65 or 65/100 is the probability both boys will score!

Hope this Helps! :D

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