Question

A 30 m long rope is tightly stretched and tied from the top of the pole to the ground. If the rope makes an angle of 60° with the ground, the height of the pole is ______.

Options

• `10sqrt3` m

• `30sqrt3` m

• 15 m

• `15sqrt3` m

Answer 1

A 30 m long rope is tightly stretched and tied from the top of the pole to the ground. If the rope makes an angle of 60° with the ground, the height of the pole is `bbunderline(15sqrt3 m)`.

Explanation:

In AABС,

sin 60° = `h/30`

`sqrt3/2 = h/30`

2h = `30sqrt3`

h = `15sqrt3` m