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For problem #4, identify the indicated side length or angle measurement.

For problem #4, identify the indicated side length or angle measurement.-example-1
User Uwe Allner
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1 Answer

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17 votes

SOLUTION:

We are to find the measurement of angle A.

Since the three sides are known, we just pick any of the two sides.

Considering

Using the trigonometric ratio:


\begin{gathered} \sin \theta\text{ = }\frac{opposite}{\text{hypotenuse}} \\ \\ \sin \text{ A = }(8)/(10) \\ \\ \sin \text{ A = 0.8} \\ A\text{ = }\sin ^(-1)\text{ (0.8)} \\ A=53.13^o \end{gathered}

The measurement of angle A is 53.13 degrees.

User Lukas Kalbertodt
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