CalliahF567667 CalliahF567667
  • 03-11-2022
  • Mathematics
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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 class=

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KarlieU203119 KarlieU203119
  • 03-11-2022

By Sine Rule,

[tex]\frac{b}{\sin B}=\frac{a}{\sin A}[/tex]

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

[tex]\begin{gathered} \frac{14}{\sin B}=\frac{12}{\sin 57} \\ \text{Cross multiply to get} \end{gathered}[/tex][tex]\begin{gathered} 12\sin B=14\sin 57 \\ \\ \sin B=\frac{14\sin 57}{12}=\frac{14\times0.83867}{12}=0.978449 \end{gathered}[/tex][tex]B=\sin ^{-1}(0.978449)=78.08\approx78^o[/tex]

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