Question

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

Answer 1

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:

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

The measurement of angle A is 53.13 degrees.