Question

Determine the measure of each unknown side​

Answer 1

Check the picture below.

`\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{e}{\sin(68^o)}=\cfrac{22.5}{\sin(59^o)}\implies e\sin(59^o)=22.5\sin(68^o) \\\\\\ e=\cfrac{22.5\sin(68^o)}{\sin(59^o)}\implies \boxed{e\approx 24.34} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{d}{\sin(53^o)}=\cfrac{22.5}{\sin(59^o)}\implies d\sin(59^o)=22.5\sin(53^o) \\\\\\ d=\cfrac{22.5\sin(53^o)}{\sin(59^o)}\implies \boxed{d\approx 20.96}`

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