Solve the Problem $$\frac { \sin \theta _ { 1 } } { \sin \theta _ { 2 } } = \frac { \mathrm { v } _ { 1 } } { \mathrm { v } _ { 2 } }$$

Multiple Choice

Solve the problem.
-Snell's Law states that $$\frac { \sin \theta _ { 1 } } { \sin \theta _ { 2 } } = \frac { \mathrm { v } _ { 1 } } { \mathrm { v } _ { 2 } }$$
where $v _ { 1 } , v _ { 2 }$ 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 $\frac { \mathrm { v } _ { 1 } } { \mathrm { v } _ { 2 } } = 1.6$ and the angle of incidence is $26 ^ { \circ }$ . Give your answer in degrees to the nearest hundredth.

A) $15.90 ^ { \circ }$
B) $5.24 ^ { \circ }$
C) $7.87 ^ { \circ }$
D) $44.54 ^ { \circ }$