From a point, Shalu starts walking towards North. After walking 20 metres, she…
2023
From a point, Shalu starts walking towards North. After walking 20 metres, she turns to her right and walks 10 metres. She then turns right again and walks 20 metres, turns to her left and walks 10 metres, and finally turns to her left again and walks 20 metres. In which direction is she now with reference to the starting point?
- A.
North
- B.
South
- C.
North-East
- D.
East
Show answer & explanation
Correct answer: C
Concept: On a standard compass, facing North, each right turn rotates the direction clockwise (North → East → South → West → North), and each left turn rotates it anticlockwise (North → West → South → East → North). To find the final direction from the start, track the walker's position on two perpendicular axes — north–south (vertical) and east–west (horizontal) — by summing the signed distance walked along each axis across every leg; the net displacement on both axes fixes the final direction (equal positive north and east displacement gives North-East, and so on).
Applying this to the walk:
Start at O (0, 0), facing North. Walk 20 m North to point B (0, 20).
At B, turn right — from North, a right turn faces East. Walk 10 m East to point C (10, 20).
At C, turn right again — from East, a right turn faces South. Walk 20 m South to point D (10, 0).
At D, turn left — from South, a left turn faces East. Walk 10 m East to point E (20, 0).
At E, turn left again — from East, a left turn faces North. Walk 20 m North to point F (20, 20), the final point.
Cross-check: summing the vertical legs separately, net north-south displacement = 20 m north + 20 m north − 20 m south = 20 m north. Summing the horizontal legs, net east-west displacement = 10 m east + 10 m east = 20 m east. The two net displacements are equal and both positive, so F lies exactly North-East of O.
Therefore, Shalu is in the North-East direction with reference to the starting point.
