Chapter 8.1, Problem 2AYU

If $\theta$ is an acute angle, solve the equation $\tan \theta =\frac{1}{2}$. Express your answer in degrees, rounded to one decimal place. (p. 475)

To determine

To find: The value of $\theta$.

Answer to Problem 2AYU

$\theta \approx 26.6°$

Explanation of Solution

Given:

$\theta$ is an acute angle.

$\text{tan}\theta =\frac{1}{2}$

Formula used:

Inverse of $\text{tan}\theta$.

Calculation:

So we have to find the inverse value

$\theta ={\text{ tan}}^{-1}\left(\frac{1}{2}\right)$

$\theta \approx 26.6°$