The hiker's total displacement is approximately 8912.66 meters at an angle of 27.94° north of west. This displacement is represented by the purple vector in the diagram.

Would you like any further details or clarifications?

Here are some additional questions to consider:

1. How would the displacement change if the final leg were longer?
2. What would the total displacement be if one of the angles was different?
3. Can you calculate the average speed of the hiker if the total time was given?
4. How would the direction of the resultant vector change if one leg had a different bearing?
5. Can you calculate the time taken for each leg of the journey if the hiker's speed was constant?

Tip: Always use vector components to solve problems involving multiple directions of motion.