Answer
$C = 70˚$
$c \approx 44$ km
Work Step by Step
1. Find the angle $C$ knowing that all angles in a triangle add to $180˚$
$C + 50 + 60 = 180$
$C + 110 = 180$
$C = 70˚$
2. Solve for $c$
$\frac{c}{sin(70)} = \frac{36}{sin(50)}$
$c = \frac{36sin(70)}{sin(50)}$
$c = \frac{33.82...}{0.766...}$
by GDC / calculator
$c = 44.160...$ km
$c \approx 44$ km