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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.

A kite flying in the air has an 81ft 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 Ro class=

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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

[tex]\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}[/tex]

Hence, the height of the kite is 54.2 ft

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