Question

Angle of elevation from a point 64 meters from the base of a building to the top of the building is 35o . Find the height of the building.

Answer 1

44.81m

Explanation:

The set up is right angled

Given the following

Angle of elevation = 35°

Distance from base of building = 64m = adjacent

Height of the building = opposite

Using the SOH CAH TOA identity

Tan theta = opp/adj

tan 35 = x/64

x = 64tan35

x = 64(0.7002)

x = 44.81m

hence the height of the building is 44.81m