Question

A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in the string.

Answer 1

Let K be the kite and the string is tied to point P on the ground.

In ∆KLP,

$\frac{KL}{KP} = sin60°$

$\frac{60}{ KP} = \frac{\sqrt3}2$

$KP = \frac{120}{\sqrt3} = 40\sqrt3 \,m$

Hence, the length of the string is $40\sqrt3 \,m$.