Question

The angle of elevation of the top of a tower from a point on the ground 30 m away from the foot of the tower is 30°. The height of the tower is ______.

Options

• 30 m

• `10sqrt(3)` m

• 20 m

• `10sqrt(2)` m

Answer 1

The angle of elevation of the top of a tower from a point on the ground 30 m away from the foot of the tower is 30°. The height of the tower is `underlinebb(10sqrt(3)  m)`.

Explanation:

`h/(30  m) = tan 30^circ = 1/sqrt(3)`

⇒ `h = (30  m)/sqrt(3)`

⇒ `h = ((30  m)/sqrt(3) xx sqrt(3)/sqrt(3)) m`

⇒ `h = 10sqrt(3)  m`