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Using a trigonometric ratio to find an angle measure in a right

Using a trigonometric ratio to find an angle measure in a right-example-1

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ANSWER :

x = 33.6 degrees

EXPLANATION :

Recall that the cosine function is :


\cos\theta=\frac{\text{ adjacent}}{\text{ hypotenuse}}

From the problem, the adjacent to the angle x is 15 and the hypotenuse is 18.

Using the formula above :


\begin{gathered} \cos x=(15)/(18) \\ \\ \text{ take the arccos :} \\ x=\arccos((15)/(18)) \\ \\ x=33.56\sim33.6 \end{gathered}

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