Answer:
Angle B = 47.3°
Explanation:
We are to find Angle B
b = 6.8cm
C = 70°
c = 8.7cm
We solve using Sine rule
b/sin B = c/ sin C
6.8/sin B = 8.7/sin 70
Cross Multiply
sin B × 8.7 = 6.8 × sin 70
sin B = 6.8 × sin 70/8.7
B = arc sin ( 6.8 × sin 70/8.7)
B = 47.26265°
Approximately to 3 significant figures
= B = 47.3°