Answer
$\angle A = 63^{\circ}$
$\angle B = 27^{\circ}$
$c\approx 1076m$
Work Step by Step
1. $b = 489m$ and $a =958m$
2. $\angle B = \tan^{-1} \frac{489}{958} = 27^{\circ}$
3. $\cos 27^{\circ} =\frac{958}{c}$
$c \approx 1076m$
4. $\angle A = 180^{\circ} -90^{\circ} -27 ^{\circ} = 63^{\circ}$
5. Answers 2 significant figures and angles in minute
$\angle A= 63^{\circ}$ and $\angle B = 27^{\circ}$
