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
