Question

At a point on the ground 20 feet from a building, a surveyor observes the angle of inclination to the top of the building to be pi/3 radians. How tall is the building?

Answer 1

Answer:

34.64 ft

Step-by-step explanation:

Distance from the building = 20 ft

Angle of inclination = π/3 radians

The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:

$tan( \pi/3) = \frac{h}{20} \\h = 20*1.73205\\h=34.64\ ft$

The building is 34.64 ft tall