Direction sense — Janaki's route and final facing Janaki starts from her house and walks 2 km towards North, then turns right and covers 1 km. She again turns right and walks 2 km. In what direction is she going at the end?
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ANorth
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BEast
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CSouth
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DWest
Answer
Correct Answer: South
Explanation
Introduction / Context:This is a basic direction-sense problem involving two right turns and equal backtracking in the north–south axis.
Given Data / Assumptions:
- Start facing North.
- Walk: 2 km North → right turn (East) 1 km → right turn (South) 2 km.
- Turns are 90°; distances are exact.
Concept / Approach:Use a simple x–y grid. North = +y, East = +x, South = −y, West = −x. Track both orientation and displacement.
Step-by-Step Solution:1) After 2 km North, face North.2) Right turn → face East; move 1 km.3) Right turn → face South; move 2 km.4) Final heading is the direction of the last leg.
Verification / Alternative check:Diagramming a simple L-shape returning southward confirms the final facing is South.
Why Other Options Are Wrong:North/East/West do not match the direction of the last segment after the second right turn.
Common Pitfalls:Mistaking position (where) for facing (direction of travel). We are asked for facing at the end.
Final Answer:South