Question

Which proportion could be used to find the length of side b?

Answer 1

`\text{B. }(\sin 31^(\circ))/(9.3)=(\sin 85^(\circ))/(b)`

Explanation:

In any triangle, the Law of Sines states that the proportion of the sine of each angle and its opposite side is maintained throughout all 3 angles and their corresponding sides of a triangle:

`(\sin A)/(a)=(\sin B)/(b)=(\sin C)/(c)`

Thus, we have
`\implies \boxed{\text{B. }(\sin 31^(\circ))/(9.3)=(\sin 85^(\circ))/(b)}`