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:
[tex] \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 \\ [/tex]
Thus, the height of the kite from the ground is 103.92 meters.
