Question

When a child flying a kite has let out 60 meters of string, the string makes an angle of 60 degrees. How high is the kite?

Answer 1

The height is:
`h = 51.96cm`

Explanation:

Given

`L = 60m`

`\theta = 60`

Required

The height of the kite

See attachment for illustration.

To calculate height (h), we have:

`\sin(\theta) = (Opposite)/(Hypotenuse)`

This gives

`\sin(60) = (h)/(60)`

Make h the subject

`h = 60 * \sin(60)`

`h = 60 * 0.8660`

`h = 51.96cm`