Answer
$c_{2}\approx2.238\cdot 10^{8}$ meters per second.
Work Step by Step
$c_{2}=\frac{c_{1}\sin(\theta_{2})}{\sin(\theta_{1})}$
$c_{2}=\frac{3\cdot 10^{8}\sin(28^{\circ})}{\sin(39^{\circ})}$
$c_{2}\approx2.238\cdot 10^{8}$ meters per second.