Answer
$\angle A =36^{\circ}$
$\angle B = 54^{\circ}$
$b\approx 17.8 m$
Work Step by Step
1. $c = 22m$ and $a =13 m$
2. $\angle A = \sin^{-1} \frac{13}{22} = 36.2^{\circ}$
3. $\cos 36.2^{\circ} =\frac{b}{22}$
$b \approx 17.8 m$
4. $\angle B = 180^{\circ} -90^{\circ} -36.2 ^{\circ} = 53.8^{\circ}$
5. Answers in 2 significant figures as given values
$\angle A= 36^{\circ}$ and $\angle B = 54^{\circ}$
