Question

Need help please, been stuck on this for a few days

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(102^o)}=\cfrac{27}{\sin(28^o)}\implies b\sin(28^o)=27\sin(102^o) \\\\\\ b=\cfrac{27\sin(102^o)}{\sin(28^o)}\implies b\approx 56.3`

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