Answer
$A=47.9108^{\circ}$
$c=84.816\,cm$
$a=62.942\,cm$
Work Step by Step
The sum of angles in a triangle is $180^{\circ}$.
$\implies$ Angle $A=180^{\circ}-(90^{\circ}+42.0892^{\circ})=47.9108^{\circ}$
$\sin B=\sin 42.0892^{\circ}=\frac{\text{opposite side}}{\text{hypotenuse}}=\frac{56.851\,cm}{c}$
$\implies c=\frac{56.851\,cm}{\sin42.0892^{\circ}}=84.816\,cm$
$\tan B=\tan 42.0892^{\circ}=\frac{\text{opposite side}}{\text{adjacent side}}=\frac{56.851\,cm}{a}$
$\implies a=\frac{56.851\,cm}{\tan 42.0892^{\circ}}=62.942\,cm$
