1. **State the problem:** A canoeist needs to travel from the lake entry point to a campsite located 2.4 km north and 3.2 km west. We want to find the direction to head directly to the campsite, expressed as degrees clockwise from north. 2. **Visualize the problem:** The canoeist's path forms a right triangle where: - The vertical leg (north) is 2.4 km. - The horizontal leg (west) is 3.2 km. 3. **Identify the angle to find:** We want the angle $\theta$ between the north direction and the direct path to the campsite, measured clockwise. 4. **Use trigonometry:** The tangent of the angle $\theta$ is the ratio of the opposite side (west distance) to the adjacent side (north distance): $$\tan(\theta) = \frac{\text{west}}{\text{north}} = \frac{3.2}{2.4}$$ 5. **Calculate the tangent value:** $$\tan(\theta) = 1.3333$$ 6. **Find the angle $\theta$ using arctangent:** $$\theta = \tan^{-1}(1.3333)$$ 7. **Calculate $\theta$:** $$\theta \approx 53.13^\circ$$ 8. **Interpret the angle:** Since the angle is clockwise from north towards west, the canoeist should head approximately $53^\circ$ clockwise from north. 9. **Round the answer:** Rounded to the nearest 2 degrees: $$\boxed{53^\circ}$$ **Final answer:** The canoeist should head $53^\circ$ clockwise from north to reach the campsite directly.