Question

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

Answer 1

Answer:

$\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}$

Step-by-step 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:

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

Thus, we have $\implies \boxed{\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}}$