Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

Multiple Choice

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-Snell's Law states that
$$\frac { \sin \theta _ { 1 } } { \sin \theta _ { 2 } } = \frac { \mathrm { v } _ { 1 } } { \mathrm { v } _ { 2 } }$$
where $\mathrm { v } _ { 1 } , \mathrm { v } _ { 2 }$ are the speeds at which light travels through two different mediums, and $\theta _ { 1 } , \theta _ { 2 }$ are the angles of incidence and refraction respectively. Find the angle of refraction if $\frac { { } ^ { v _ { 1 } } } { \mathrm { v } _ { 2 } } = 1.7$ and the angle of incidence is $14 ^ { \circ }$ . Give your answer in degrees to the nearest hundredth.

A) $2.72 ^ { \circ }$
B) $8.18 ^ { \circ }$
C) $24.28 ^ { \circ }$
D) $4.08 ^ { \circ }$