Chapter 12.4, Problem 14OE

To determine

Find the measure of acute angle $\left(\theta \right)$ for the function $\sin \theta =0.6160$ to the nearest tenth of a degree.

Answer to Problem 14OE

The acute angle $\left(\theta \right)$ is $38.0°$ .

Explanation of Solution

Given information: The given function is $\sin \theta =0.6160$ .

Calculation: The value of acute angle $\left(\theta \right)$ for the given function $\sin \theta =0.6160$ is evaluated as,

  $\begin{array}{c}\sin \theta =0.6160\\ \theta ={\sin }^{-1}\left(0.6160\right)\\ =38.0°\end{array}$