Question

The string of a kite is 120 metres long and it makes an angle of 60 degree

Answer 1

Answer:

103.92 m

Step-by-step explanation:

The kite is making right angle with the ground and its string is acting as hypotenuse of right triangle.

Let the height of the kite from the ground be h meters.

Therefore, by trigonometrical ratio:

$\sin \theta \: = \frac{height \: of \: the \: kite}{length \: of \: the \: string} \\ \\ \sin 60 \degree \: = \frac{h}{120} \\ \\ \frac{ \sqrt{3} }{2} = \frac{h}{120} \\ \\ h = \frac{ \sqrt{3} }{2} \times 120 \\ \\ h = \sqrt{3} \times 60 \\ \\ h = 1.732 \times 60 \\ \\ h = 103.92 \: m$

Thus, the height of the kite from the ground is 103.92 meters.