1. **State the problem:** We need to calculate the angle of depression from point B to point C in a right-angled triangle. 2. **Understanding angle of depression:** The angle of depression from B to C is the angle between the horizontal line through B and the line BC. 3. **Identify the triangle sides:** Assume the vertical side (opposite to the angle of depression) is $12.34$ m and the horizontal side (adjacent to the angle) is $15.2$ m. 4. **Formula used:** The angle of depression $\theta$ can be found using the tangent function: $$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{12.34}{15.2}$$ 5. **Calculate the ratio:** $$\tan(\theta) = 0.8118$$ 6. **Find the angle using inverse tangent:** $$\theta = \tan^{-1}(0.8118)$$ 7. **Calculate the angle:** $$\theta \approx 39.1^\circ$$ 8. **Round to the nearest degree:** $$\theta = 39^\circ$$ **Answer:** The angle of depression of C from B is $39^\circ$.