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 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