Answer
$ c=26.96;A=23.6^{\circ}; B=66.4^{\circ}$
Work Step by Step
The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$
$\tan A=\dfrac{10.8}{24.7}=0.4372 \implies A=23.6^{\circ}$
So, $ B=90^{\circ}- 23.6^{\circ}=66.4^{\circ}$
and $ c=\dfrac{24.7}{\cos 23.6^{\circ}}=26.96$
Thus, $ c=26.96;A=23.6^{\circ}; B=66.4^{\circ}$
