Chapter 12.4, Problem 35WE

To determine

Find the measure of acute angle $\left(\theta \right)$ for the function $\sin \theta =0.7321$ to the nearest minute.

Answer to Problem 35WE

The acute angle $\left(\theta \right)$ is $47°\text{4}\text{'}$ .

Explanation of Solution

Given information: The given function is $\sin \theta =0.7321$ .

Calculation: The value of acute angle $\left(\theta \right)$ for the given function $\sin \theta =0.7321$ is evaluated as,

  $\begin{array}{c}\sin \theta =0.7321\mathrm{....}\left(\text{Given}\right)\\ \theta ={\sin }^{-1}\left(0.7321\right)\\ =47.06°\\ =47°\text{4}\text{'}\end{array}$