Question

A kite is attached to a 100 m long string. Find the greatest height reached by the kite when its string makes an angles of 60° with the level ground.

Answer 1

Given that the kite is attached to a 100 m long string and it makes an angle of  60° with the ground level which is shown in the figure below:

Suppose that the greatest height is x m.

From the figure

`x/(100)` = sin 60°     ...`[because "Perp."/"Hypot." = "sin"]`

`x/(100) = sqrt(3)/(2)`

x = 86.6 m

Therefore the greatest height reached by the kite is 86.6 m.