Answer
$ c=23.32;A=41.0^{\circ}; B=49.0^{\circ}$
Work Step by Step
The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$
$\tan A=\dfrac{15.3}{17.6}=0.8693 \implies A=41.0^{\circ}$
So, $ B=90^{\circ}- 41.0^{\circ}=49.0^{\circ}$
and $ c=\dfrac{17.6}{\cos 41.0^{\circ}}=23.32$
Thus, $ c=23.32;A=41.0^{\circ}; B=49.0^{\circ}$
