Answer
$\angle A = 44^{\circ}$
$b\approx 21.4m$
$a\approx 20.6m$
Work Step by Step
1. Given $\angle B = 46^{\circ}$; $c = 29.7ft$
2. Find side $a$ by using sine
$\sin B = \frac{b}{c}$ => $b = c\times\sin B = 29.7 \times\sin 46^{\circ}\approx 21.4 m $
3. Find side $b$ by using cosine
$\cos B = \frac{a}{c}$ => $a = c\times\cos B= 29.7 \times\cos 46^{\circ} \approx 20.6 m$
4. Angles in a triangle should add up to 180 degrees
$\angle A = 180^{\circ} -90^{\circ} -46^{\circ} =44^{\circ}$
