Convert the following Polar numbers into Rectangular form. Include at least one intermediate step for the calculation of a and $b$ in your answer. It is recommended that you check your answer with your calculator. $(4$ points$)$

a$.\frac{120}{{?}_{32}}.(2$ points. $0\mathrm{.}5$ points each for intermediate a and b calculations.$)$

b points. $0\mathrm{.}5$ points each for intermediate a and b calculations.$)$