1. **State the problem:** Given a circle with radius 7 cm and a sector with central angle 150°, we want to find the length of the chord (the other side) opposite the 150° angle. 2. **Formula used:** The chord length $c$ in a circle is given by $$c = 2r \sin\left(\frac{\theta}{2}\right)$$ where $r$ is the radius and $\theta$ is the central angle in degrees. 3. **Calculate the chord length:** $$c = 2 \times 7 \times \sin\left(\frac{150^\circ}{2}\right) = 14 \times \sin(75^\circ)$$ 4. **Evaluate $\sin(75^\circ)$:** Using known values or a calculator, $$\sin(75^\circ) \approx 0.9659$$ 5. **Calculate the final chord length:** $$c = 14 \times 0.9659 = 13.52$$ cm **Final answer:** The length of the chord opposite the 150° angle is approximately **13.5 cm**.