1. **Problem statement:** Dylan is 12 m away from a rock, and the angle of elevation to the top of the rock is 57°. We need to find the height of the rock. 2. **Formula used:** To find the height of an object using the angle of elevation, we use the tangent function from trigonometry: $$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{h}{d}$$ where $\theta$ is the angle of elevation, $h$ is the height of the rock, and $d$ is the distance from the observer to the rock. 3. **Apply the formula:** $$\tan(57^\circ) = \frac{h}{12}$$ 4. **Solve for $h$:** $$h = 12 \times \tan(57^\circ)$$ 5. **Calculate the value:** Using a calculator, $$\tan(57^\circ) \approx 1.5399$$ So, $$h = 12 \times 1.5399 = 18.4788$$ 6. **Final answer:** The height of the rock is approximately **18.48 m**.