Question

A pole casts a shadow of length `2sqrt(3)` m on the ground when the sun’s elevation is 60°. The height of the pole is ______.

Options

• `4sqrt(3)` m

• 6 m

• 12 m

• 3 m

Answer 1

A pole casts a shadow of length `2sqrt(3)` m on the ground when the sun’s elevation is 60°. The height of the pole is 6 m.

Explanation:

Let the height of the pole be h metres.

Then, `h/(2sqrt(3)) = tan 60^circ = sqrt(3)`

⇒ `h = (2sqrt(3) xx sqrt(3))`

⇒ h = 6