Question

Find the measure of the indicated angle to the nearest degree.A. 26B. 48C. 42D. 64

Answer 1

Given the Right Triangle attached,

let α = missing angle.

To find α:

$sinα=\frac{opposite}{hypothenuse}$

substituting in the formula, and solving for α:

$\begin{gathered} sinα=\frac{37}{41} \\ \\ α=arcsin\frac{37}{41}=64.48 \end{gathered}$

ANSWER

D.