$\frac{\sin 30^{\circ}}{14}=\frac{\sin 50^{\circ}}{b}$
\(\boxed{b \approx 21.45}\)
Step 1 :\(\frac{\sin 30^\circ}{14} = \frac{\sin 50^\circ}{b}\)
Step 2 :\(b = \frac{14 \cdot \sin 50^\circ}{\sin 30^\circ}\)
Step 3 :\(b \approx 21.45\)
Step 4 :\(\boxed{b \approx 21.45}\)