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In a right triangle, if the hypotenuse is equal to 16 feet and the side adjacent to ∠θ is equal to 5 feet, what is the approximate measurement of ∠θ?

User Santa
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1 Answer

4 votes

We have the diagram:

We use the trigonometric identity cosine:


\cos\theta=(adjacent)/(hypotenuse)

Substitute the values:


\begin{gathered} \cos\theta=(5)/(16) \\ \theta=\cos^(-1)((5)/(16))=71.79 \end{gathered}

Answer: 71.79°

In a right triangle, if the hypotenuse is equal to 16 feet and the side adjacent to-example-1
User Toosensitive
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