Question

Use the law of cosines to find the length of side C.

Answer 1

`\text{D. 36.64}`

Explanation:

The Law of Sines is given by
`(a)/(\sin A)=(b)/(\sin B)=(c)/(\sin C)` and works for any triangle.

Therefore, we have the proportion:

`(c)/(\sin 41.5^(\circ))=(37)/(\sin 42^(\circ)),\\\\c=(37\sin 41.5^(\circ))/(\sin 42^(\circ))=36.6399945706\approx \boxed{36.64}`