Question

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

Short answer

The solution is$\theta \approx 26.6°$.

Step-by-step solution

Step 1. Given information 

Equation:$\tan \theta =\frac{1}{2}$

Step 2. Calculation 

Here $\theta$is an acute angle that is less than $90°$, so the angle is in the first quadrant.

Now, $\tan \theta =\frac{1}{2}$

$\theta ={\tan }^{-1}\frac{1}{2}$

$\theta \approx 26.6°$