A tower stands vertically on the ground. From a point on the ground, 20 m away from the foot of the tower, the angle of elevation of the top the tower is 60°. What is the height of the tower?

Question

A tower stands vertically on the ground. From a point on the ground, 20 m away from the foot of the tower, the angle of elevation of the top the tower is 60&#xB0;. What is the height of the tower?

Philoid · Accepted Answer

Let the height of the tower = h (m)

In ∆ABC,

tan60° =

√3 =

h = 20√3 m

Therefore height of the tower is 20√3 m