225k views
5 votes
Help asap!!!

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

Help asap!!! 8 82° Solve for b. b 55° b = [?] Round your final answer to the nearest-example-1
User Steevithak
by
8.3k points

1 Answer

4 votes


\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

Make sure your calculator is in Degree mode.

User Amustill
by
9.0k points

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