Question

A truck parked on the street is 56 m from the base of the apartment building on the right. The angle of elevation from the truck to the top of the building is 40°. The parked truck is 49 m from the base of the apartment building on the left. The angle of elevation from the truck to the top of that building is 50°. Which building is taller?

Answer 1

The building to the left is taller.

Explanation:

Building on right:

tan 40° = a/56

a = 56 tan 40° = 46.99

Building on left:

tan 50° = b/49

b = 49 tan 50° = 58.40

The building to the left is taller.