Answer
$ a=101.08;c=105.58; A=73.2^{\circ}$
Work Step by Step
The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$
$ A=90^{\circ} -16.8^{\circ}=73.2^{\circ}$
Now, $ a=30.5 \tan 73.2^{\circ} =101.08$
So, $ c=\dfrac{30.5}{\cos 73.26^{\circ}}=105.58$
Thus, $ a=101.08;c=105.58; A=73.2^{\circ}$