Question

A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, the length of the ladder is ______.

Options

• `4/sqrt(3)`m

• `4sqrt(3)` m

• `2sqrt(2)` m

• 4 m

Answer 1

A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, the length of the ladder is 4 m.

Explanation:

Let AB be the ladder and BC be the wall.

Then, ∠CAB = 60° and CA = 2 m.

Let AB = x metres.

Then, `(AC)/(AB) = cos 60^circ = 1/2`

⇒ `2/x = 1/2`

⇒ x = 4