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

If 12 was added to one-third of a certain number to get 35. What is this number? *

Answers

12+(1/3)x=35
(1/3)x=23
x=7.6666

6 cm
4 cm
12 cm
Find the volume of the rectangular prism.
A)22 cm
B)66 cm
C)198 cm
D)288 cm

Answers

Answer:

D 288cm

Step-by-step explanation:

6x4x12 = 288cm

Plz help due tomorrow iff correct ill give brailiest

Answers

Answer:

so d = 43

and the answer to the question is divide

Given ABC, what is the value of x?
HELP ME PLS THIS IS URGENT

Answers

Answer:

x=35

Step-by-step explanation:

We know that sum of angles in a triangle=180

120

o

+25

o

+x=180

145

o

+x=180

o

x=35

o

I NEED HELP WITH THIS!

They plan to sell the small figures for $8 and the large figures for $10. How many of each figure should Pablo and Kenneth create to earn the most amount of money possible? For full credit, explain HOW you got your answer and WHY you think this is the best combination of figures.

Answers

Answer:

Not enough information

Step-by-step explanation:

There is no limit to how many figures you can create. There is not enough information to solve this. If this is only a part of the question, try to include all of it.

Answer: I disagree. If Pablo has enough time to make 10 figures. He could make 8 of the large figures and make $80.00 and then make 2 of the large figures and make $16. Together with the 8 small and 2 large figures they would make $96.00

Step-by-step explanation: I took the test. Dont know if its right, but its better than the other answer.

Jason jumped 623 feet in a jumping contest. Yolanda jumped 434 feet. How much farther did Jason jump than Yolanda?

Answers

Answer:

jason jumped 189 feet more than Yolanda

Step-by-step explanation:

subtract Jason's jump and Yolanda's jump

Answer - 189 Ft

623 - 434 = 189

Please helpppp

Help

Answers

Answer:

( -2 , 4 ) --- ( -2 , 1 ) ------ ( -4 , 1 )

Step-by-step explanation:

Answer:

(-2,1) (-2,4) (-4,1)

Step-by-step explanation:

Possibly one of the easiest ways to figure this out is to take on of the points and count how many points go back to the y axis, in this case it goes back 2. Since its goes back two, on the other side we also need to go back two. Do this with all of the points. If you still don;t understand please don't hesitate to ask.

Convert the equation below to slope intercept form 2x+y=3
pls help ASAP

Answers

9514 1404 393

Answer:

  (b)  y = -2x +3

Step-by-step explanation:

Subtract the 2x term to get y by itself on the left.

  2x -2x +y = 3 -2x

  y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b

Mhanifa please c:



1) A principle of $300 was deposited in a savings account that pays 3.5 interest compounded yearly. Find the balance after 5 years.

2) UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound, and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

Answers

Answer:

Step-by-step explanation:

300×1.035⁵ ≅ $356.31

:::::

UPS charge = 7 + (p-1)0.20 = 0.20p +6.80

FedEx charge = 5 + (p-1)0.30 = 0.30p + 4.70

0.30p + 4.70 = 0.20p +6.80

0.10p = 2.1

p = 21

They charge the same for 21 pounds.

Is this answer correct?

Answers

yes it is goodjob sue
Y1=4 Y2=1 X1=2 X2=5 this should be the correct answer

What is the measure,in degrees of Angle X?Help me please I put the picture!

Answers

Answer: 22.7°

Steps:
180 - 157.3 = 22.7

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

x = 71.8619....

Step-by-step explanation:

tan(x)=58/19

find l of the following cone ​

Answers

Answer and Step-by-step explanation:

Pythagorean theorem

Half of 4 is 2.

2^2 + 9^2 = l^2

4 + 81 = l^2

Square root of 85 = l

#teamtrees #PAW (Plant And Water)

Is this right? Will mark branliest for the correct answer

Answers

Answer:

No

Step-by-step explanation:  

it’s the first one :)

can you help me with my homework please​

Answers

Answer:

Yes

Step-by-step explanation:

What Are The Questions

ANSWER QUICK PLEASE!!

The horizontal axis found on the coordinate plane is the y-axis.

true or false?

Answers

Answer:

True

Step-by-step explanation:

Answer:

false! y-axis is up and down. x-axis is side to side

Step-by-step explanation:

​If Alfie tosses the paper cup more times, what is the expected ​number of times that the cup will land on its side?

Answers

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

     Right side up = 60         Upside down = 53             Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

 

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

[tex]Right = 60[/tex]

[tex]Upside\ down = 53[/tex]

[tex]Side = 37[/tex]

Required

First, we calculate the probability of landing on side

[tex]P(Side) = \frac{n(Side)}{Total}[/tex]

[tex]P(Side) = \frac{37}{150}[/tex]

[tex]P(Side) = 0.247[/tex]

Next, we calculate the expected value; E(x) using:

[tex]E(x) = n * P(x)[/tex]

When tossed 100  more times:

n = 100 and P(x) = P(Side) = 0.247

So:

[tex]E(x) = 100 * 0.247[/tex]

[tex]E(x) = 24.7[/tex]

[tex]E(x) = 25[/tex] --- approximated

Hence, it is expected that it will land on its side 25 times

Just give me the answer. Don’t need explanation... Write an equation of a cosine function with amplitude 3, a period of π, a phase shift of π/4 to the left, and translated 1 unit up.

Answers

this can be used y=3x+28y(20^2)

Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

Answer:

58cm

Step-by-step explanation:

15+14+5+8+6=48

missing side = 15-5 =10

48+10=58

Guys please help me on this!

Answers

I itinerary is going on for the weekend so I’m it would be A 25 feet

You and your friend are standing back-to-back. Your friend runs 10 feet forward and then 8 feet right. At the same time, you run 11 feet forward and then 12 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?

Answers

Answer:

29 feet

Imagine you are on an open plane.

you walk 11 feet forward and your friend 10 feet. you are now 21 feet apart. now put imaginary walls that stopped both of you at that 21 feet.

now, you go 12 feet to your right, and your friend 8 feet to their right. imagine you are pushing a wall in front of you.

at that point the side walls are 20 feet apart.

you and your friend are at opposite corners of a 20 by 21 foot room.

at that point it's just a matter if applying the Pythagorium theory.

What is the volume of a prism with the hieght 8, base 4 and length 2?

Answers

volume = base x height x length
= 4 x 8 x 2
= 64(whatever unit)^3(cubed)

PLEASE HELP QUIKLY THIS IS DUE TODAY I WILL GIVE U POINTS THE PICTURE TO THE PROBLEM IS BELOW!!!! Ms. Jackson wrote a question on the board. Then she collected student responses to the question and recorded them in a tally chart. What question could she have asked? Is there more than one possible response to the question? Explain

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Answer:

Critical-thinking skills and knowledge of enviromental regulations, 71 A or -15/2

Step-by-step explanation:

how long will it take you and 4 friends to paint the fence?

Answers

Answer:

Check pdf

Step-by-step explanation:

The largest ferry in the Puget Sound fleet can carry 2,500 passengers every hour.



a. Type an expression in the box that represents the number of passengers the ferry can carry in H hours.

b. How many passengers can be carried by the ferry in 8 hours?

Answers

Answer:

a: $60.45

b: 20

Step-by-step explanation:

I did this on a test!

Brenda has 14 fewer apps than Caleb. If Caleb deleted 5 apps, then he would have twice as many as Brenda. How many apps do Brenda and
Caleb have together?

Answers

Answer:

42

Step-by-step explanation:

Because Brenda has 14 fewer apps and he deleted 5 apps and he now has twice as many as brenda so 14 + 14 =28 so he had 33 before but remember 33- 5 + 28 so 14 + 28 + 42

There are about 16 kilometres in 10 miles About how many kilometres are in 5 miles?

A: 3 kilometres

B: 8 kilometres

C: 32 kilometres

D: 80 kilometres?

Answers

Answer:

167

Step-by-step explanation:

89-g8+16

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Answers

Answer:

-6(-8.5) = 51

Step-by-step explanation:

-8 1/2 is also -8.5

-6(-8.5) = 51

Answer:

cool

Step-by-step explanation:

very nice

write the polynomial in standard form. then classify it by degree and number of terms.

-2x^3+6-x^3+5x

Answers

Answer:

standard form: −3x³+5x+6

degree and number of terms.

The degree of a polynomial is the highest degree of its terms. 3

The leading term in a polynomial is the term with the highest degree.

−3x³

The leading coefficient of a polynomial is the coefficient of the leading term. −3

List the results.

Polynomial Degree: 3

Leading Term: −3x³

Leading Coefficient: −3

Step-by-step explanation:

A town council wants to conduct a survey on town policies using a random sample of residents.
Which method would result in a random sample?
A
Ask all residents having lunch at a local restaurant
B Ask the first 5 residents who visit town hall after it opens
С
Draw slips of paper with names of residents out of a large box.
D
Print survey forms on postcards and have residents mail their responses

Answers

Answer:

Step-by-step explanation:

Answer:

The correct answer is C. Draw slips of paper with names of residents out of a large box.

Step-by-step explanation:

Hope it helps-

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