Q:

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.

Accepted Solution

A:
The first thing we must do for this case is to find the height of the balloon from the top of the building.
 We have then:
 tan (76) = h / 354
 h = 354 * tan (76)
 h = 1419.81645
 Then, the height from the ground is:
 1419.81645 + 95 = 1514.81645
 Rounding off we have:
 1514.82 feet
 Answer:
 The height of the hot air balloon is:
 1514.82 feet