Question

A kite is flying 115 ft above the ground. The length of the string to the kite is 150 ft, measured from the ground. Find the angle, to the nearest degree, that the string makes with the ground

Answer 1

The angle that string of the kite makes with the ground is
`50^\circ`.

Explanation:

Given that, a kite flying 115 ft above the ground. The length of the string to the kite which is measured from the ground is 150 ft.

It form a right angled triangle.

Here hypotenuse of the triangle is 150 ft.

and opposite is 115 ft

We know that,

`Sin \theta= (Opposite)/(Hypoteneuse)`

Putting the all values

`\Rightarrow sin\theta=(115)/(150)`

`\Rightarrow \theta=sin^(-1)((115)/(150))`

`\Rightarrow \theta \approx 50^\circ`

The angle that string of the kite makes with the ground is
`50^\circ`.