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

please help me:/
i have 20 mins:(

Answers

Answer:

X= 14

Y = 140

Step-by-step explanation:

9x+14+3x-2=180

12x=168

x=14

9x+14=y

9(14)+14=y

140=y

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

Answers

Answer:

Im pretty sure its 16.64

Step-by-step explanation:

Solve the following system

y=1.6x
2x + 2y = 86

Answers

Answer:

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

Answer:

x=16.538462 and y=26.461538

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 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

Anybody wanna have a zaam? ID:945 739 7763/Passcode: BRAINLY

Answers

Answer:

Step-by-step explanation:

sure ig (:

Answer:

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

And nobody gets hurt (Nobody)

Now I'm running from her love, I'm not fast (Fast)

So I'm making it worse (Making it worse)

Now I'm digging up a grave, from my past

I'm a whole different person (A whole different person)

It's a gift and a curse (A gift and a curse)

But I cannot reverse it

Step-by-step explanation:

what is 11/4-3/8= what is it or get me the right answer

Answers

Answer:

2 3/8 is the answer

Step-by-step explanation:

11/4 - 3/8

We will find the LCM of 4 and 8, which is 8.

We will do 11/4*8, which 8/4 = 2 and 2*11 = 22

Then we will do 3/8*8 = 8/8 = 1 = 3*1 = 3

So the answer will be 22-3 =  19

                                        8     =   8

Mixed Fraction = 2 3/8

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

Square
Rectangle
Trapezoid
Rhombus
Kite​

Answers

i believe the answer is rhombus and square!

have a nice day :)

please answer fast everyone. Find the perimeter of a square that has a area of 144in

Answers

Answer:

48 in

Step-by-step explanation:

If the area is 144 that means each side of the square is 12 in. 12x4=48

I am one of the numbers represented on a number line when you divide the segment between -15 and 25 into 4 equal parts. I am positive and prime. What number am i?

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

= 25 + 15

= 40

Divided into 4 segments, each would contain 10 numbers  such that the

1st segment is from -15 to -5 (which is -15 + 10)

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

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

4th segment is from 15 to 25 (which is 15 + 10)

Given that the unknown number is prime and positive this may be

2 or 3 or 5 from the 2nd segment

7 or 11 from the third segment

17 or 19 or 23 from the 4th segment

What is the median?
A(18
B(27
C(33.2
D(34.5

Answers

Answer: 34.5

Step-by-step explanation:

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

which is (18,20,26,34,34,35,38,40,42,45)

Second, choose the number in the middle of the set of numbers you wrote out from least to greatest. (There are TWO numbers in this case, which are 34 and 35)

Lastly, since there are two numbers you add them both together and then divide by 2. (34+35=69 ,  69 divided by 2 = 34.5)

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.

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.

What is the initial value of e=3h+200.

Answers

Answer:h=e-200/3

Step-by-step explanation:

I need help thank you

Answers

Answer:

30 - 60 - 90

Step-by-step explanation:

1. i’ll give you brainliest if u get this right

Answers

Answer:

Step-by-step explanation:

34 and m=7

Answer:

34 and m=7...

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



Question 1 options:

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°

Correct choice is A

The two lines represent the distance traveled, over time, by two trains. Which train is traveling more quickly?

Answers

Answer:

A

Step-by-step explanation:

if the line is steeper it means that it increases quickly

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

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

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,

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

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 will give 50 points and brainliest..
The question is attached below

Answers

Answer:

okey i will help you what is that

I will mark brainliest

The snack that smiles back ____

Answers

Answer:

I smile back :D

Step-by-step explanation:

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:

Answer please ASAP :))))

Answers

Answer:

good luck with maths! i know it can be tricky

Step-by-step explanation:

Answer:

0.056, 0.060, 0.560, 0.600, 6.00

Step-by-step explanation:

Place Value Chart

Tens ---- Ones --- Tenths ---- Hundredths ---- Thousandths

(think about where the values go in the chart)

(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)

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

Answers

56 apples

7 baskets * 8 apples for each = 56 apples in all

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!

:)

why is 15 + 1/2 an algebraic expression?

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

=15+0.5

=15.5

Ans: 15.5

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