Answer
The ray's direction of travel in the glass is $~~35^{\circ}~~$ from the normal.
Work Step by Step
We can use Snell's Law:
$n_3~sin~\theta_3 = n_2~sin~\theta_2 = n_1~sin~\theta_1$
$n_3~sin~\theta_3 = n_1~sin~\theta_1$
$sin~\theta_3 = \frac{n_1~sin~\theta_1}{n_3}$
$sin~\theta_3 = \frac{(1)~sin~60^{\circ}}{1.50}$
$sin~\theta_3 = 0.57735$
$\theta_3 = sin^{-1}~(0.57735)$
$\theta_3 = 35^{\circ}$
The ray's direction of travel in the glass is $~~35^{\circ}~~$ from the normal.