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 we work out the question ,
£118.80 divided by 22
on a calculator it comes out as 5.4

How could we write this answer as an amount of money?

Answers

Answer:

£5.40

Step-by-step explanation:

just add a zero for it to be pence

The sample for a study exhibits undercoverage bias. Select the statement that best describes the bias in the study. O There are not enough subjects in the sample.
O Many of the subjects in the study did not answer every question on the survey.
O The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
O The subjects in the study are not representative of the population, because some members of the population refused to take part in the study.​

Answers

Answer:

The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.

Step-by-step explanation: i got it right on the test

A sample is said to exhibit undercoverage bias, if some of the portion or category of the population are not adequately represented or exempted from the selected sample. Hence, undercoverage bias exists because, The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.

Undercoverage bias produces non - representative samples as some category of the population may have been exempeted from the study. Hence, option C is correct.

Undercoverage translates that the opinion of some members of the population were not even considered. Hence, the introduction of undercoverage bias.

Learn more : https://brainly.com/question/21774717

What is the volume of the prism?

Answers

Answer:

volume of hexagonal prism = area of base * perpendicular height

Step-by-step explanation:

Thirteen of the Unites States do not touch the ocean. What percent of the United States do not touch the ocean? HELP!

Answers

26 percent because 13/50 is 26

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

1x-2y

Step-by-step explanation:

You have to go down 2 on the y-axis and over to the right 1 on the x axis

please help this is due soon

Answers

the answer is 60degree..hope it helps u

A taxi travels for 30 minutes at a speed of 28 mph. Calculate how far it travles.

Answers

Answer:

14 m

Step-by-step explanation:

Speed = 28 mph

Time = 30 minutes = 30/60 = 1/2 hour

Distance  = speed * time

               = 28 * [tex]\frac{1}{2}[/tex]

                = 14 m

Answer:

14 miles

Step-by-step explanation:

15 cm
4 cm
cm
V=____cm3

Answers

Answer:

V=(πr^2 x h)/3

lets use π as 3.14 cause I dont know what pi u using

3.14 x 4^2 x 15 = 753.6/3 = 251.2

If you're using π as your pi, than just replace 3.14 by π on calculator

Hope that answers your question

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 907.46 square​ feet? Use 3.14 for π

Answers

Answer:

The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.

The Area of a circle is

πr2=808.64

(3.14)r2=808.64

Divide both sides by 3.14

r2=257.5286624

Square root both sides to get radius

r=16 feet

7 feet away from the sprinkler can it spread water if the area formed by the watering pattern is 907.46 square​ feet

Area of circle:

What information do we have?

Area of watering pattern = 907.46 square​ feet

Area of watering pattern = Area of circle

Area of watering pattern = πr²

907.46 = (3.14)r²

r² = 289

r = 17

Length = 17 feet

Find out more information about 'Area'.

https://brainly.com/question/11952845?referrer=searchResults

-4(8h-5)= -16 round to the nearnest hundreth

Answers

Answer:

h=9/8 or 1.125 but since yo said round it's 1.13

Step-by-step explanation:

Need this done in 5 minutes

Answers

Step-by-step explanation:

40, 58, 58, 72, 74, 74, 76, 81,  83, 84, 92

1      2    3   4        5     6      5     4   3    2   1

1) A. 74

2) B. 40

3) A. 92

4) A. 58

Brainlist pls!

Julie & Maria go to Sam's Club to purchase candy. Julie buys three five-pound bags of candy and two one sound bags of candy for a of 19. Maria buys one five-pound bag of candy and four one-pound bags of Candy for $ 13

A) write a system of two equations that represent this scenario and define your variables

Answers

Answer:   5x + 2y = 19

x + 4y = 13

Step-by-step explanation:

let x be the cost of each five-pound bag of candy, and y be the cost of each one-pound bag of candy.

5x + 2y = 19

x + 4y = 13

Three bananas and two pears cost 95p.
Five bananas and three pears cost £1.51
Find the cost of ten bananas and ten pears.​

Answers

Answer:

Cost of ten bananas and ten pears is  £ 3.90

Step-by-step explanation:

As three bananas and two pears cost  95 p  and  five bananas and three pears cost  £  1.51  or  151  p ,

subtracting former from latter, we get

two bananas and one pear cost  151 p  −  95 p  =  56 p

and doubling four bananas and two pear cost  56 p × 2 = 112 p

Hence, one banana costs  112 p  −  95 p  =  17 p .

and two bananas cost  17 p  ×  2  =  34 p

and hence one pear costs  56 p  −  34 p  =  22 p

Hence cost of ten bananas and ten pears is  

10  ×  17 p  +  10  ×  22 p  =  170 p  +  220 p  =  390 p  =  £ 3.90

Hope it helps

Please mark me as the brainliest

Thank you

find surface area of this cone ​

Answers

Answer:

SA = 200π cm²

Step-by-step explanation:

The surface area is calculated as

SA = area of base + area of curved surface

     = πr² + πrs ( r is the radius and s the slant height )

Using Pythagoras' identity in the right triangle to find s

s² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )

s = [tex]\sqrt{289}[/tex] = 17

SA = π × 8² + π × 8 × 17

      = 64π + 136π

      = 200π cm²

calculate the perimeter of a rectangle with length 4+5y-3x and width 2x - 8y​

Answers

Answer: p = - 6y - 2x + 8

Step-by-step explanation:

p = 2l + 2w

p = 2(4+5y-3x) + 2(2x - 8y​)

p = 8 + 10y - 6x + 4x- 16y

p = - 6y - 2x + 8

Answer:

P=-2x-6y+8 i believe

Step-by-step explanation:

P= 2(4+5y-3x) + 2(2x-8y)

P= 8+10y-6x +4x-16y

=8+10y+−6x+4x+−16y

=(−6x+4x)+(10y+−16y)+(8)

=−2x−6y+8

Rondel's parents borrow $5000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 2 years to repay the loan?

$600.00
$500.00
$480.00
$540.00

Answers

Answer:

600

Step-by-step explanation:

6 percent of 5000 is 300. 300x2=600.

Sorry if im wrong

2.
Write an equation of a line with the given slope and y-intercept.

m = 1, b = 4


A. y = –1x + 4


B. y = 4x + 1


C. y = x + 4


D. y = x – 4

Answers

This answer to this is C. y=x+4

Answer:

the answer is C

Step-by-step explanation:

You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4

find the area of the following triangle and write your result in the empty box

Answers

Answer:

Step-by-step explanation:

Area = 1/2bh

since b = 10in and height = 6in

then

1/2 x 10 x 6

= 30

Answer:

Area = 1/2bh since b = 10in and height = 6in next you do 1/2 x 10 x 6 = 30

A triangle has angle measures of 95° and 65° What is the measure of the third angle

Answers

The third angle is 20°. This is because you add the two angles you have already (95+65) and then you subtract that from 180. In simplier words: If you know 2 angles then you can subtract their sum from 180° to find the measure of the 3rd angle.

PLEASSSSSSSSEEEEEEEEEEEEEEEE JUST ANSWER MY QUESTION STOP SKIPPING ME SHOW WORK PDF BELOW FIND SURFACE AREA PLEASE 50 POINTS

Answers

Answer:

9) 21

10) 24

11) 14.6

Step-by-step explanation:

Literally just add up all the sides.

look at the photo to answer
17 POINTS!!!

Answers

I think the answer is D I don’t know if I’m wrong.

solve the right triangle. round your answer to the nearest tenth​

Answers

Answer:

?

Step-by-step explanation:

Two similar rectangles are shown. Which statement is true? A) The area of rectangle B is 1 3 the area of rectangle A. B) The area of rectangle B is 1 9 the area of rectangle A. C) The area of rectangle B is nine times the area of rectangle A. Eliminate D) The area of rectangle B is three times the area of rectangle A

Answers

Answer:

I think it is 19 I not really sure

Step-by-step explanation:

o work it out of my paper and I got 19

Answer: The answer to this math question about finding the statement is very true about 2 similar rectangles are being shown here below is B). B) The area of rectangle B is [tex]\frac{1}{9}[/tex] of the area of rectangle A.

Step-by-step explanation: I'm very sorry about that, but I don't have any step-by-step explanation to this math question about finding the statement is very true about 2 similar rectangles are shown here below, so anyways, I hope that my full short given answer without my given step-by-step explanation to your own math question about finding the statement is very true about 2 similar rectangles are being shown here below, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

ASAP PLEASE HELP ME !!!!

Answers

Answer:

90 mallards

Step-by-step explanation:

No. of ducks = 200

Mallards = 45%

45% of 200 = 45/100 × 200

=90

Answer is 90 mallards

45% mallards. X
100% all ducks 200
X=45•200/100
X=90

what's the circumference of a circle with a diameter of 3 inches? Use 3.14 for pi

Answers

Answer:

C≈18.85

Step-by-step explanation:

An African Elephant can eat 4,620 pounds of
food a week! If the elephant ate the same
amount of food each day that week, how many
pounds of food would he have eaten in a day?

Answers

Answer:

Step-by-step explanation:

660

Answer:

660 pounds

Step-by-step explanation:

Matchsticks are used to make a sequence of
patterns:
3 , 5 , 7 ...

Find the nth term rule for the number of
matchsticks in pattern n

Answers

Answer:

Tn = 1 + 2n

Step-by-step explanation:

Given the arithmetic sequence

3 , 5 , 7 ...

The nth term of an AP is expressed as;

Tn = a + (n-1)d

a is the first term = 3

d is the common difference = 5-3 = 7-5 = 2

n is the number of terms

Substitute

Tn = 3 + (n-1)(2)

Tn = 3 + 2n-2

Tn = 1 + 2n

Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n

Hey can anyone please help me with these t questions asap?

Answers

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

Answer:

21. 27 22. 6

Step-by-step explanation:

21 is 27 because 9 times a dozen (12) times equals 108.  !08 splited by 4 is 27.  

For 22 112-70 is 42.  There are 7 seats per row so 42/7= is 6 empty rows.

Ok can someone please help me? i really need help and no one will help me, its easy middle school math

Answers

Answer:

Step-by-step explanation:

7) A

8) D

9) B

10) A

which of the following could not be a value of probability

HELP​

Answers

Step-by-step explanation:

s it will be just know the right

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