Answer:
[tex]\text{D. 36.64}[/tex]
Step-by-step explanation:
The Law of Sines is given by [tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex] and works for any triangle.
Therefore, we have the proportion:
[tex]\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}[/tex]
