Question

You are flying a kite and want to know its angle of elevation. The string on the kite is 39 meters long and the kite is level with the top of a building that you know is 24 meters high. Find the angle of elevation of the kite

.a.58.392
b.37.980
c.31.608
d.52.020

Answer 1

The correct option is (b).

Explanation:

Given that,

The length of the string = 39 m

The kite is level with the top of a building that is 24 meters high.

We need to find the angle of elevation of the kite.

A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.

`\sin\theta=(P)/(H)\\\\\sin\theta=(24)/(39)\\\\\theta=\sin^(-1)\left(0.61538\right)\\\\\theta=37.98^(\circ)`

So, the angle of elevation of the kite is 37.97°. The correct option is (b).