Question

The angle of elevation from the top of a 95-foot-tall building to a hot air balloon in the sky is 76 degrees. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the balloon.

This problem is a trigonometry function problem

Answer 1

Below

Explanation:

The horizontal distance and the vertical height (from the top of the 95 ft building) are the legs of a right triangle with

the tan of the elevation angle = height / horiz dist

tan 76 = height / 354

354 tan 76 = height = 1419.8 ft BUT you need to add the 95 ft height of the building to get 1514.8 ft height of balloon