I am facing East. Turning to the right I go 20 metres, then turning to the…

Concept: In a direction-sense problem, plot the walk on an x-y grid, treating East/West as the horizontal axis and North/South as the vertical axis. A right turn always rotates the CURRENT heading 90 degrees clockwise and a left turn rotates it 90 degrees counter-clockwise, never back to the original heading. The direction from the starting point at the end is decided by the NET horizontal and NET vertical displacement summed over every leg, not by the direction of any single leg.

Applying this step by step:

1. Start facing East at the origin (0, 0).

2. Turn right (East to South) and walk 20 m: now at (0, -20).

3. Turn left (South to East) and walk 20 m: now at (20, -20).

4. Turn right (East to South) and walk 20 m: now at (20, -40).

5. Turn right (South to West) and walk 40 m: now at (-20, -40).

6. Turn right (West to North) and walk 40 m: now at (-20, 0).

Cross-check: Checking the vertical and horizontal legs independently confirms this: the vertical legs are -20 (south) - 20 (south) + 40 (north) = 0, matching the final y-coordinate of 0; the horizontal legs are +20 (east) - 40 (west) = -20, matching the final x-coordinate of -20.

The final position (-20, 0) lies 20 m to the west of the starting point, along the same horizontal line, so the person is to the west of their original position.