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SOLVE #10 PLEASE, FIND THE MESURE OF THE INDICATED ANGLE TO THE NEAREST DEGREE

SOLVE #10 PLEASE, FIND THE MESURE OF THE INDICATED ANGLE TO THE NEAREST DEGREE-example-1

1 Answer

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We have the following:

We can see that it is a right triangle, since it has a right angle, which means that we can apply a trineometric ratio. In this case we can apply the sine function that relates the opposite side and the hypotenuse, both known values:


\sin \theta=\frac{\text{opposite}}{\text{hypotenuse}}

replacing:


\begin{gathered} \sin \theta=(36)/(60) \\ \theta=\sin ^(-1)(36)/(60) \\ \theta=36.87\cong37 \end{gathered}

Therefore, the answer is B) 37°

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