#### Answer

$\frac{w}{z} = 2~\sqrt{3}+2~i$

#### Work Step by Step

$\frac{w}{z} = \frac{8~(cos~40^{\circ}+i~sin~40^{\circ})}{2~(cos~10^{\circ}+i~sin~10^{\circ})}$
$\frac{w}{z} = \frac{8}{2}~[cos~(40^{\circ}-10^{\circ})+i~(sin~40^{\circ}-10^{\circ})]$
$\frac{w}{z} = 4~(cos~30^{\circ}+i~sin~30^{\circ})$
$\frac{w}{z} = 4~(\frac{\sqrt{3}}{2}+\frac{i}{2})$
$\frac{w}{z} = 2~\sqrt{3}+2~i$