Question

Find The measure of the indicated to the nearest angle

Answer 1

The given figure is a right triangle, then we can apply the sine function to find the missing angle, so:

`\sin\theta=(opposite)/(hypotenuse)`

The opposite side to the angle measures 17, and the hypotenuse measures 19.

By replacing these values, we can find the angle:

`\begin{gathered} \sin\theta=(17)/(19) \\ \\ \theta=\sin^(-1)((17)/(19)) \\ \\ \theta=63.47 \\ \theta\approx64\degree \end{gathered}`

The answer is 64°.