Answer
$ a \approx 4.96$ and $ c \approx 13.07$
Work Step by Step
$\tan A=\dfrac{a}{b}$
$\implies a=b \tan A=(12.1) \times \tan 22.3^{\circ}$
So, $ a \approx 4.96$
Now, $ c=\dfrac{a}{\sin A}$
$\implies c=\dfrac{4.96}{\sin 22.3^{\circ}}$
So, $ c \approx 13.07$