Question:
A man walks 2 km East from his house and then turns to his left and walks 3 km. Further he turns to his left and walks 2 km. Now, how far is he from his house?
A man walks 2 km East from his house and then turns to his left and walks 3 km. Further he turns to his left and walks 2 km. Now, how far is he from his house?
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Use coordinates to solve multi-turn direction problems.
Updated On: Feb 27, 2026
- 2 km
- 3 km
- 4 km
- 5 km
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The Correct Option is B
Solution and Explanation
Concept:
Directional movement tracking.
Explanation:
Start at origin.
Walk 2 km East → (2, 0).
Turn left (North), walk 3 km → (2, 3).
Turn left again (West), walk 2 km → (0, 3).
Distance from start:
\[
\sqrt{0^2 + 3^2} = 3 \text{ km}
\]
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