\(\frac{\sin C}{20}=\frac{\sin 65^{\circ}}{19}\)
Multiply both sides of the equation by 20.
\(\sin C=20\,*\,\frac{\sin 65^{\circ}}{19} \\~\\ \sin C = \frac{20\sin 65^{\circ}}{19}\)
Take the arcsin of both sides of the equation.
\( C = \arcsin(\frac{20\sin 65^{\circ}}{19})\)
So...putting this into a calculator gives us
\(C\approx72.556^{\circ}\)
\(\frac{\sin C}{20}=\frac{\sin 65^{\circ}}{19}\)
Multiply both sides of the equation by 20.
\(\sin C=20\,*\,\frac{\sin 65^{\circ}}{19} \\~\\ \sin C = \frac{20\sin 65^{\circ}}{19}\)
Take the arcsin of both sides of the equation.
\( C = \arcsin(\frac{20\sin 65^{\circ}}{19})\)
So...putting this into a calculator gives us
\(C\approx72.556^{\circ}\)