Question

The string of a kite is 100 m long and it makes an angle of 60° with the horizontal. If there is no slack in the string, the height of the kite from the ground is ______.

Options

• `50sqrt(3)` m

• `100sqrt(3)` m

• `50sqrt(2)` m

• 100 m

Answer 1

The string of a kite is 100 m long and it makes an angle of 60° with the horizontal. If there is no slack in the string, the height of the kite from the ground is `underlinebb(50sqrt(3)  m)`.

Explanation:

The string 100 m is the hypotenuse and the height is the side opposite the 60° angle.

So height = 100 × sin 60°

= `100 xx (sqrt(3)/2)`

= `50sqrt(3) ≈ 86.6  m`