Answer
$c \approx5.29$
$A \approx 79.2^\circ$
$C\approx 40.8^\circ$
Work Step by Step
1. Use the Law of Cosines, we have $c=\sqrt {(6)^2+(4)^2-2(6)(4)cos60^\circ}\approx5.29$
2. Use the Law of Sines, $\frac{sinA}{6}=\frac{sin60^\circ}{5.29}$, thus $A=sin^{-1}(\frac{6sin60^\circ}{5.29})\approx 79.2^\circ$
3. We have $C\approx(180-60-79.2)=40.8^\circ$
