1. The problem is to clarify whether the formula gives the length of the opposite side or the opposite angle in a triangle. 2. The sine rule formula $\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$ relates the lengths of sides ($a$, $b$, $c$) to the sines of their opposite angles ($A$, $B$, $C$). 3. When you use the formula to find $a = b \times \frac{\sin A}{\sin B}$, you are calculating the length of the side opposite angle $A$, not the angle itself. 4. The formula does not give the measure of the opposite angle; it gives the length of the side opposite to a known angle. 5. To find an angle given sides, you would rearrange the sine rule to solve for the angle, for example, $A = \arcsin\left(\frac{a \sin B}{b}\right)$. 6. So, the formula you asked about gives the length of the opposite side, not the opposite angle.