Answer:
44
Step-by-step explanation:
We want to solve the equation [tex]\frac{\sin(79)}{17}=\frac{\sin(x)}{12}[/tex]
We multiply through by 12 to obtain:
[tex]\sin(x)=\frac{\sin(79)}{17}*12[/tex]
We simplify the RHS to obtain:
[tex]\sin(x)=0.6929[/tex]
This implies that:
[tex]x=\sin^{-1}(0.6929)[/tex]
[tex]x=43.86\degree[/tex]
To the nearest degree, x=44 degrees
