Answer:
Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,
b / sin B = a / sin A
Substituting,
b / sin 85.3° = 44 / sin 48°
The value of b from the equation is approximately equal to 59.01.