Question

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

Answer 1

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`