A person whose eye level is 16 feet above the ground is looking at a building. The angle of elevation to the top of the building is 22 degrees and the angle of depression to the bottom of the building is 17 degrees . What is the height (in feet) of the building? Round your answer to the nearest foot.

Height of building= 24 feet

Step-by-step explanation:

Given: The angle of elevation to the top of the building is 22 degrees and the angle of depression to the bottom of the building is 17 degrees. Eye level of a person is 16 feet above the ground.

To find: height (in feet) of the building

Solution:

In the figure, PT represents the person and QS represents the building

Let

In ΔPTS,

(Alternate interior angles as PR||TS)

side opposite to / side adjacent to

So, (opposite sides of rectangle are equal)

In ΔPRQ,

Height of building = QS = QR + RS = x + 16 = 8 + 16 = 24 feet

answer: check all that apply, where the options?

step-by-step explanation: