Analyze the provided details thoroughly and answer the subsequent question.

An automated delivery drone departs from distribution center F and flies due west. After traveling 27m, it hovers at waypoint D. It then makes a left turn, flies for another 20m, and reaches waypoint C. From waypoint C, the drone turns right and travels for 27m to waypoint B. Finally, it makes a right turn and travels 10m to land at destination A.

In which direction does waypoint B lie relative to waypoint D?

The correct option is South-west.

To determine the direction of waypoint B relative to waypoint D, we trace the path step-by-step using standard directions (North, South, East, West):

1. Reference Point at Waypoint D:
Let waypoint D be our reference point. The drone travels due West to reach D, so at waypoint D, the drone is facing West.

2. Movement from Waypoint D to Waypoint C:
While facing West at waypoint D, making a left turn causes the drone to face South.
The drone travels 20m South to reach waypoint C. Therefore, waypoint C is 20m South of waypoint D.

3. Movement from Waypoint C to Waypoint B:
While facing South at waypoint C, making a right turn causes the drone to face West.
The drone travels 27m West to reach waypoint B. Therefore, waypoint B is 27m West of waypoint C.

4. Position of Waypoint B Relative to Waypoint D:
Combining the displacements from waypoint D:
- Waypoint B is 20m to the South of D.
- Waypoint B is 27m to the West of D.

Since waypoint B is located to the South and to the West of waypoint D, waypoint B lies in the South-west direction relative to waypoint D.