Answer:
Step-by-step explanation:
Considering the given triangle, to determine b, we would apply the sine rule. It is expressed as
SinA/a = SinB/b = SinC/c
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
Sin 55/8 = SinB/b
The sum of the angles in a triangle is 180°. Therefore,
Angle B = 180 - (82 + 55) = 43°
Therefore,
Sin 55/8 = Sin43/b
Cross multiplying, it becomes
bSin55 = 8Sin43
0.819b = 8 × 0.682 = 5.456
b = 5.456/0.819
b = 6.7 to the nearest tenth
