Let the height of the building is .

The height of the antenna .

Let the distance between the surveyor and the base of the building is .

Draw the related diagram for the situation:

(a) How far away from the building is the surveyor located.

Consider .

.

The distance between the surveyor and the base of the building is .

(b) How tall is the building.

Consider .

.

The height of the building is .

(c) What is the angle of elevation from the surveyor to the top of the antenna.

Let the angle of elevation from the surveyor to the top of the antenna is .

Consider .

Substitute .

.

The angle of elevation from the surveyor to the top of the antenna is .

(d) How tall is the antenna.

Consider .

Substitute and .

.

The height of the antenna is .

(a) The distance between the surveyor and the base of the building is .

(b) The height of the building is .

(c) The angle of elevation from the surveyor to the top of the antenna is .

(d) The height of the antenna is .