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.

Let us trace the drone's path step-by-step using standard cardinal directions (North is up, South is down, East is right, West is left):

1. The drone starts at distribution center F and flies due west for 27m to waypoint D.
Relative to F, waypoint D is 27m West.

2. At waypoint D, it turns left (facing West, a left turn points South) and flies 20m to waypoint C.
So, relative to D, waypoint C is 20m South.

3. At waypoint C, it turns right (facing South, a right turn points West) and travels 27m to waypoint B.
So, relative to C, waypoint B is 27m West.

Now, let us determine the position of waypoint B relative to waypoint D:

- Starting from D, moving to C takes us 20m South.
- From C, moving to B takes us 27m West.

Combining these two displacement vectors (20m South and 27m West), waypoint B lies in the South-west direction from waypoint D.