Question

A kite is flying at a height of 45 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 C be the position of kite above the ground such that it subtends an angle of 60° at point A on the ground.

Suppose the length of the string, AC be l m.

Given, BC = 45 m and ∠ BAC = 60°.

In ΔABC:

`sin60^@=(BC)/(AC)`

`therefore sqrt3/2=45/l`

`rArrl=(45xx2)/sqrt3=90/sqrt3=30sqrt3`

Thus, the length of the string is`30sqrt3`.