Question

A kite flying in the air has an 81-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 42°. Find the height of the kite. Round your answer to the nearest tenth.

Answer 1

ANSWER

The height of the kite is 54.2 ft

EXPLANATION

Given:

A kite with 81-ft string attached to it a

Desired Result:

The height of the kite.

Applying SOH CAH TOA

$\begin{gathered} sin\text{ }\theta\text{ = }\frac{opp}{hyp} \\ sin\text{ 42 = }\frac{x}{81} \\ x\text{ = 81 sin 42} \\ x\text{ = 81}\times0.6991 \\ x\text{ = 54.1971} \end{gathered}$

Hence, the height of the kite is 54.2 ft