Chapter 12.4, Problem 31WE

To determine

Find the measure of acute angle $\left(\theta \right)$ for the function $\cos \theta =0.8621$ to the nearest minute.

Answer to Problem 31WE

The acute angle $\left(\theta \right)$ is $\text{30}°\text{27}\text{'}$ .

Explanation of Solution

Given information: The given function is $\cos \theta =0.8621$ .

Calculation: The value of acute angle $\left(\theta \right)$ for the given function $\cos \theta =0.8621$ is evaluated as,

  $\begin{array}{c}\cos \theta =0.8621\\ \theta ={\cos }^{-1}\left(0.8621\right)\\ =30.45°\\ =\text{30}°\text{27}\text{'}\end{array}$