Answer
$\theta_2 = 22.0^{\circ}$
Work Step by Step
We can find $\theta_2$:
$\frac{1}{3.0}~sin~\theta_2 = \frac{1}{4.0}~sin~\theta_1$
$sin~\theta_2 = \frac{3.0}{4.0}~sin~\theta_1$
$sin~\theta_2 = \frac{3.0}{4.0}~sin~30^{\circ}$
$sin~\theta_2 = 0.375$
$\theta_2 = sin^{-1}~(0.375)$
$\theta_2 = 22.0^{\circ}$
