Solve the Problem $$z = 10 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right)$$

Multiple Choice

Solve the problem. Leave your answer in polar form.
- $$z = 10 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right)$$
$$w = 5 \left( \cos 10 ^ { \circ } + i \sin 10 ^ { \circ } \right)$$
Find $z w$ .

A) $50 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)$
B) $15 \left( \cos 40 ^ { \circ } + \mathrm { i } \sin 40 ^ { \circ } \right)$
C) $15 \left( \cos 300 ^ { \circ } + i \sin 300 ^ { \circ } \right)$
D) $50 \left( \cos 300 ^ { \circ } + \mathrm { i } \sin 300 ^ { \circ } \right)$