1. **State the problem:** We need to find the horizontal distance from the base of the tower to the edge of the cliff given the angle of depression is 12° and the tower height is 8 m. 2. **Understand the setup:** The angle of depression from the top of the tower to the cliff edge is 12°, which means the angle between the horizontal line from the top of the tower and the line of sight down to the cliff edge is 12°. 3. **Identify the right triangle:** The tower height is the vertical side (opposite the angle), the horizontal distance from the base to the cliff edge is the adjacent side, and the line of sight is the hypotenuse. 4. **Use the tangent function:** Tangent relates the opposite side to the adjacent side in a right triangle: $$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ Here, $\theta = 12^\circ$, opposite = 8 m, adjacent = distance $d$ we want to find. 5. **Set up the equation:** $$\tan(12^\circ) = \frac{8}{d}$$ 6. **Solve for $d$:** $$d = \frac{8}{\tan(12^\circ)}$$ 7. **Calculate $\tan(12^\circ)$:** $$\tan(12^\circ) \approx 0.2126$$ 8. **Substitute and compute:** $$d = \frac{8}{0.2126} \approx 37.62$$ 9. **Round to one decimal place:** $$d \approx 37.6$$ meters **Final answer:** The edge of the cliff is approximately 37.6 meters from the base of the tower.