Chapter 12.4, Problem 16OE

To determine

Find the measure of acute angle $\left(\theta \right)$ for the function $\tan \theta =1.632$ to the nearest tenth of a degree.

Answer to Problem 16OE

The acute angle $\left(\theta \right)$ is $58.5°$ .

Explanation of Solution

Given information: The given function is $\tan \theta =1.632$ .

Calculation: The value of acute angle $\left(\theta \right)$ for the given function $\tan \theta =1.632$ is evaluated as,

  $\begin{array}{c}\tan \theta =1.632\\ \theta ={\tan }^{-1}\left(1.632\right)\\ =58.5°\end{array}$