Answer:
The height of the hot air balloon is 1514.54 feet approximately.
Step-by-step explanation:
Consider the provided information.
The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon
The figure is shown below:
Let the height of the balloon is AD, the height of the building is BC.
Draw a line BE parallel to CD.
Therefore, AD=x+95, BC=95 and BE=CD=354 ft
Now in triangle
.
![\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cdfrac%7B%5Ctext%7BOpp%7D%7D%7B%5Ctext%7BAdj%7D%7D)
![\tan76^{\circ}=\dfrac{AE}{BE}](https://tex.z-dn.net/?f=%5Ctan76%5E%7B%5Ccirc%7D%3D%5Cdfrac%7BAE%7D%7BBE%7D)
![AE\approx 4.01\times 354](https://tex.z-dn.net/?f=AE%5Capprox%204.01%5Ctimes%20354)
![AE\approx 1419.54](https://tex.z-dn.net/?f=AE%5Capprox%201419.54)
The height air balloon is 1419.54+95
=1514.54 ft
Hence, the height of the hot air balloon is 1514.54 feet approximately.
I believe that 21 is d 27 over 17
I believe that 22 is d because 16 divided by 3.20 is 5
sorry if I am wrong
I hope this helps you
Are you sure you didn’t word this wrong?
if you didn’t, the answer would be 0.11627906976
if you meant, what’s 43 divided by 5 then the answer would be 8.6
I’m not very good at math, but maybe try adding all of them together