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

Multiple Choice

Solve the problem.
-Snell's Law states that $\frac { c _ { 1 } } { c _ { 2 } } = \frac { \sin \theta _ { 1 } } { \sin \theta _ { 2 } }$ . Use this law to find the requested value. If $c _ { 1 } = 7 \times 10 ^ { 7 }$ , $\theta _ { 1 } = 48 ^ { \circ }$ , and $\theta _ { 2 } = 33 ^ { \circ }$ , find $c _ { 2 }$ .

A) $\mathrm { c } _ { 2 } = 4.89 \times 10 ^ { 9 }$
B) $c _ { 2 } = 5.13 \times 10 ^ { 6 }$
C) $c _ { 2 } = 5.66 \times 10 ^ { 7 }$
D) $\mathrm { c } _ { 2 } = 5.13 \times 10 ^ { 7 }$