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
Oksanka [162]
3 years ago
8

An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edg

e of the building. If the new angle of elevation from the ant to the top of the building is 22°, find the height of the building. Round the answer to the nearest tenth.
Mathematics
1 answer:
Naddik [55]3 years ago
8 0
Tanα=h/x, tanß=h/(x+88)

solving both for x

x=h/tanα, x=h/tanß-88, since x=x

h/tanα=h/tanß-88

h/tanß-h/tanα=88

(htanα-htanß)/(tanα*tanß)=88

h(tanα-tanß)/(tanα*tanß)=88

h=88(tanα*tanß)/(tanα-tanß)

Since α=32 and ß=22...

h=88(tan32*tan22)/(tan32-tan22)

h≈85.3 feet


You might be interested in
Multiply. {}=3\dfrac{1}{2} \times 3\dfrac12=3 2 1 ​ ×3 2 1 ​
Inessa [10]

I assume you mean the product of mixed numbers,

3 1/2 × 3 1/2

If we write this as

(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²

we can use the identity

(a + b)² = a² + 2ab + b²

so that

3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²

3 1/2 × 3 1/2 = 9 + 3 + 1/4

3 1/2 × 3 1/2 = 12 1/4

Alternatively, we can first write 3 1/2 as a mixed number:

3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2

Then

3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4

and

49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4

4 0
2 years ago
Explain how you can use a 10 by 10 grid to model 42%
tia_tia [17]

a 10-by-10 grid means there are 100 squares and percent is out of 100 so if you have 42% then you just need to fill in 42 squares

4 0
2 years ago
What will Amanda pay if she rents a truck and drives 45 miles and splits the total cost with two friends
grandymaker [24]
22.5 for the total cost.
6 0
3 years ago
The product of a number and -7 amounts to seven times the sum of that number and 20. Find the number.
MA_775_DIABLO [31]

Answer: -10

Step-by-step explanation:

If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.

8 0
3 years ago
Eloise made a list of some multiples of 8/5 . Write 5 fractions that can be in Eloise list.
Kaylis [27]
16/10
24/15
32/20
40/25
48/30
4 0
3 years ago
Other questions:
  • the length of the rectangle measures 3m+5 and the width of this rectangle measures 2m+3. if the perimeter of this rectangle is 6
    14·1 answer
  • Bastien, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon of gasoline in highway driving. Th
    12·1 answer
  • What are two decimals equivalent to 3.7
    12·1 answer
  • Which set has a wider spread, and what is the range?
    9·1 answer
  • What is 21,321 rounded to the nearest 100
    8·2 answers
  • Triangle ABC ~ DEF. find the value of x.
    8·1 answer
  • Let P be a point between points S and T on ST. If ST=21. SP = 3b - 11, and PT = b +4, solve for b.
    5·1 answer
  • 8. [15 + (5 - 2)^2] ÷ 6 = <br><br>9. 4^3 + [7 - 2 ( 3 1/4)] - 9.2 = <br><br>​
    7·2 answers
  • 571 x ?
    13·1 answer
  • Which choice is a correct equation for the graph shown below?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!