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Find the measure of the indicated angle to the nearest degree

Find the measure of the indicated angle to the nearest degree-example-1

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Answer: x=31°

Explanation:

To find the missing angle, we need to use SOHCAHTOA. We can eliminate sine and tangent because we aren't given the opposite side. Therefore, we use cosine.


cos(x)=(48)/(56) [use inverse cosine]


x=cos^(-1)((48)/(56))


x=31

Now, we know x=31°.

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