1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nataly862011 [7]
3 years ago
9

two points on the same side of a tree are 65 feet apart. the angles of elevation of the top the tree are 21 19 from one point an

d 16 20 from the other
Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are  21° 19' and 16°20'.

1) Convert the angles to decimal form:

19' * 1°/60' = 0.32° => 21° 19' = 21.32°

20' * 1°/60' = 0.33° => 16° 20' = 16.33°

2) Deduce the trigonometric ratios from the verbal information.

You can form a triangle with

- horizontal leg  x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h

=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)

You can form a second triangle with:

-  horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
 
=> trigonometric ratio: tan(21.32) = h / x  => h = x * tan(21.32)

Now equal the two expressions for h:

(x+65)*tan(16.33) = x*tan(21.32)

=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet

=> h = 195.73 * tan(21.32) = 76.39 feet.

Answer: 76.39 feet
You might be interested in
Please help I need the answer fast !
Otrada [13]

Answer:

To answer this item, we add up all the scores and divide the sum by the total number of quizzes.  

                   0: 0 quizzes

                   1 : 1 quiz                     total  : 1

                   2: 3 quizzes                total : 6  

                   3: 4 quizzes                total : 12

                    4: 4 quizzes               total : 16  

                   5: 1 quiz                      total : 1

There are 13 quizzes and the total score is 36. Dividing the total score by the total number of quizzes will give us a final answer of 2.77.

Step-by-step explanation:

3 0
2 years ago
PLEASE LOOK AT THE IMAGE. I’m despite. It’s probably easy.
Sloan [31]

Answer:

Correct answer:  (x - 10)² + y² = 441 / 4

Step-by-step explanation:

Given:

(a, b) = (10, 0)  the coordinates of the center of the circle

(10, 21/2)  circle passing through this point

The standard form of the circle equation is:

(x - a)² + (y - b)² = r²  where r is radius of the circle

We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:

(10 - 10)² + (21/2)² = r²  ⇒ r² = (21/2)² = 441 / 4

r² = 441 / 4

(x - 10)² + y² = 441 / 4

God is with you!!!

6 0
3 years ago
Barbie is thinking of a number 20 less than one-third of the number is 72 find barbie's number
ExtremeBDS [4]
Let x = Barbie's number
1/3 x -20 = 72
1/3 x = 92
x = 92*3=276
4 0
3 years ago
How do I get it to equal zero
Mashutka [201]

Answer:

multiply it by zero

Step-by-step explanation:

zero times anything is zero

7 0
3 years ago
△HFM∼△PST
loris [4]

Answer:

The perimeter of △HFM is 50.75 units

Step-by-step explanation:

<u><em>The correct picture of the question in the attached figure</em></u>

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

we have

△HFM∼△PST ----> given problem

step 1

Find the scale factor

Let

z ----> the scale factor

z=\frac{HF}{PS}

substitute the given values

z=\frac{14}{8}=1.75

step 2

Find the perimeter of triangle PST

Remember that the perimeter of a triangle is the sum of its three length sides

P=8+9+12=29\ units

step 3

Find the perimeter of triangle HFM

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

so

The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor

so

29(1.75)=50.75\ units

6 0
3 years ago
Other questions:
  • Does the mean, median, or mode best describe this data set 240,450,180,160,195,170,240,<br> 165?
    6·1 answer
  • Hello! I graduated in 2008 but forgot how to solve multiplication. It's been so long. However I want to be refreshed on solving
    8·1 answer
  • Choose the like terms: 3h, i, 4i is it i and 4i
    15·2 answers
  • Prove that the bisectors of alternate interior angles are equal
    11·1 answer
  • A number is between 80 and 100 and is divisible by both 5 and . What is the number?
    10·1 answer
  • Bill's Apparel and Bud's Apparel are two sporting goods retailers. Bill's want to buy 360 small jerseys, 540 medium jerseys, and
    10·2 answers
  • ASAP, Please help me with this question this is time sensitive.
    14·1 answer
  • Súčin rokov troch súrodencov je 385. Napíšte súčet ich rokov, ak počet rokov každého z nich je prvočíslo
    12·1 answer
  • Julian calculates the volume of a rectangular prism with the dimensions 3/4ft by 4 feet by 1/2 ft. His work is shown here.
    14·1 answer
  • A stairway rises 6 feet 4 inches over a horizontal distance of 8 feet 6 inches. What is the diagonal length of the stairway
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!