Question

Help asap!!!

8
82°
Solve for b.
b
55°
b = [?]
Round your final answer
to the nearest tenth.

Answer 1

`\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{\sin(82^o)}=\cfrac{8}{\sin(55^o)}\implies b\sin(55^o)=8\sin(82^o) \\\\\\ b=\cfrac{8\sin(82^o)}{\sin(55^o)}\implies b\approx 9.7`

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