Question

$\tan \theta = \frac{3}{6}$

Explanation:

Step1: Define tangent of angle

For right triangle, $\tan\theta = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute given side values

$\tan\theta = \frac{3}{6} = 0.5$

Step3: Calculate inverse tangent

$\theta = \tan^{-1}(0.5)$

Step4: Round to nearest tenth

$\theta \approx 26.6^\circ$

Answer:

$26.6^\circ$