Question

Looking out from a balcony, the angle of elevation to the top of the next building is

approximately 22 degrees. The angle of depression to the bottom of the building is
approximately 29 degrees. If the building is 200 feet away, how tall is it?

Answer 1

191.67 feets

Explanation:

From. The attached picture :

Height x can be obtained using trigonometry :

Tan 22 = x / 200

0.4040262 = x / 200

x = 0.4040262 * 200

x = 80.805245 feets

For height, y :

Tan 29 = x / 200

0.5543090 = x / 200

y = 0.5543090 * 200

y = 110.86181 feets

Building height = x + y

Building height = 80.805245 + 110.86181 = 191.67 feets