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Solve triangles using law of sines , please show work thank you so much! find m

Solve triangles using law of sines , please show work thank you so much! find m-example-1

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By Sine Rule,


(b)/(\sin B)=(a)/(\sin A)

Where b=14, a=12, sinA = sin57 and sinB = ?


\begin{gathered} (14)/(\sin B)=(12)/(\sin 57) \\ \text{Cross multiply to get} \end{gathered}
\begin{gathered} 12\sin B=14\sin 57 \\ \\ \sin B=(14\sin 57)/(12)=(14*0.83867)/(12)=0.978449 \end{gathered}
B=\sin ^(-1)(0.978449)=78.08\approx78^o

User Muhammad Saqib
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