Answer
$c \approx 19.94$
$b \approx 15.92$
$\angle A=37^{\circ}$
Work Step by Step
$\sin 37^{\circ}=\dfrac{Opposite}{Hypotenuse}=\dfrac{12}{c}$
This gives: $c \approx 19.94$
and $\tan 37^{\circ}=\dfrac{Opposite}{Adjacent}=\dfrac{12}{b}$
This gives: $b \approx 15.92$
Since the triangle is $180^{\circ}$ and the right angle is $90^{\circ}$:
$\angle A=\angle C-\angle B$
This gives: $\angle A=90^{\circ}-53^{\circ}=37^{\circ}$
