Question

A ladder 15 m long makes an angle of 60° with the wall. Find the height of the point, where the ladder touches the wall.

Options

• `15sqrt(3)` m

• `(15sqrt(3))/2` m

• `15/2` m

• 15 m

Answer 1

`bb(15/2 m)`

Explanation:

Let AB be the ladder and BC be the wall.

Then, ∠ABC = 60°

⇒ ∠CAB = (90° – 60°)

⇒ ∠CAB = 30°

Let BC = h m.

Then, `(BC)/(AB) = sin 30^circ`

⇒ `h/15 = 1/2`

⇒ `h = 15/2`