I don’t understand this one

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

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