From a window 20 feet above the ground, the angle of elevation to the top of another building is 35 degrees. The distance between the buildings is 52 feet. Find the height of the building to the nearest tenth of a foot.

Approximately .

Step-by-step explanation:

Start by dividing the building of unknown height into two sections. Refer to the diagram attached.

To find the height of that building, simply add the length of (the lower section) to that of (the upper section).

Refer to the diagram attached. , the angle of elevation, is shown in green. In right triangle ,

Besides, the length of is equal to , same as the distance between the two buildings. can help find the length of the opposite side from the length of the adjacent.

In a right triangle, the tangent of an angle is equal to the length of its opposite side divided by its adjacent side. For example, in right triangle ,

.

Therefore,

.

Using a calculator,

.

Add that to the length of segment to find the height of this building:

.

step-by-step explanation: