A woman walks 100 metres towards north. Then she turns to her left and walks…
2024
A woman walks 100 metres towards north. Then she turns to her left and walks 50 metres. Again turns left and walks 120 metres. Finally she turns to her right at an angle of 45 degrees and starts walking. In which direction is the woman walking now?
Answer: B. South–West — ConceptA direction-sense problem is solved by tracking the walker’s current facing direction after each turn. A left turn changes the heading 90°…
- A.
North
- B.
South–West
- C.
West
- D.
North–West
Attempted by 2 students.
Show answer & explanation
Correct answer: B
Concept
A direction-sense problem is solved by tracking the walker’s current facing direction after each turn.
A left turn changes the heading 90° counter-clockwise; a right turn changes it clockwise by the stated angle.
Application
She starts facing north.
A left turn from north makes her face west; the 50-metre walk does not change that heading.
A second left turn from west makes her face south; the 120-metre walk again leaves the heading unchanged.
From south, a 45° right turn rotates the heading toward west, placing it midway between south and west.
Cross-check
On a compass, a clockwise turn from south points into the south-west quadrant.
Therefore, the woman is walking towards South–West.