Question

A kite flying in the air has a 91-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 52°. Find the height of the kite. Roundyour answer to the nearest tenth.

Answer 1

Given that the angle of elevation of the kite is 52 degrees. The length of the string is 91 ft.

We have to find the height of the kite. We use the trigonometric function to find the height of the kite.

In the triangle in the given figure,

`\begin{gathered} \sin 52=(h)/(91) \\ 0.788=(h)/(91) \\ h=71.708 \end{gathered}`

Thus, the height of the kite is 71.71 ft.