Choose the correct option: Nancy is standing at point A facing North. She…

Concept: In a direction-sense problem, plot the walk on a compass grid with North as one axis and East as the other. Every 'left' or 'right' instruction is a 90° rotation of the CURRENT facing direction (right = clockwise, left = counter-clockwise), and each distance is a displacement along the NEW facing. The final direction from the start is read off the signs of the net East-West and net North-South displacement, not from any single leg.

Applying this to Nancy's path:

1. Start at A, facing North; take A as the origin, with North as the positive vertical axis and East as the positive horizontal axis.

2. She walks 50 m 'to her right': facing North, a right turn faces East, so she moves 50 m East — now at (East 50, North 0), facing East.

3. She 'takes a left turn' and walks 40 m: from East, a left turn faces North, so she moves 40 m North — now at (East 50, North 40), facing North.

4. She walks 30 m 'to her left': from North, a left turn faces West, so she moves 30 m West — now at (East 20, North 40), facing West.

5. She walks 20 m 'to her right': from West, a right turn faces North, so she moves 20 m North — now at (East 20, North 60), facing North.

Cross-check: undoing these five legs in reverse order (20 m South, 30 m East, 40 m South, 50 m West) returns exactly to the origin, confirming the trace. The net displacement from A is 20 m East and 60 m North — both components positive — so the finishing point lies in the North-East quadrant relative to A.

Nancy is standing to the North-East of her starting point.