Question

19°

Solve for c.
142°
C
42
c = [?
C
Round your final answer
to the nearest tenth.

Answer 1

`\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{c}{\sin(142^o)}=\cfrac{42}{\sin(19^o)}\implies c=\cfrac{42\sin(142^o)}{\sin(19^o)}\implies c\approx 79.4`

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