Question

A kite is flying at a height of 75m from the level of ground attached to a string inclined at 60° to the horizontal. Find the length of the string.

Answer 1

Consider a kite A tied to a string AC flying at a height AB.

AB = 75 m

Measure of angle C = 60°

Using trigonometric function, sine on angle C in the triangle, we get

Sin C = AB/AC

Sin 60° = 75/h

√3/2 = 75/h

h = (75×2)/√3

h = 150/√3

h = 86.6

Therefore, the required length of the string tied to the kite is 87 m.