Question

From a point on the ground, which is 60 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is found to be 45°. The height (in metres) of the tower is ______.

Options

• `10sqrt(3)`

• `30sqrt(3)`

• 60

• 30

Answer 1

From a point on the ground, which is 60 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is found to be 45°. The height (in metres) of the tower is 60.

Explanation:

Given:

Distance from foot (d) = 60 m

Angle of elevation (θ) = 45°

Let height of tower be h.

In the right-angled triangle formed:

`tan 45^circ = h/60`

`1 = h/60`

h = 60 m