A man walks 10 km north, then turns right and walks 5 km, then turns right again and walks 10 km. In which direction is he now facing, and how far is he from the starting point?
Show Hint
- South, 5 km
- West, 10 km
- East, 10 km
- East, 5 km
The Correct Option is A
Solution and Explanation
To solve the problem, we need to trace the path taken by the man and use basic concepts of directions and distance to determine his final direction and distance from the starting point.
1. Understanding the Concepts:
- Direction: Turning right or left from a given direction alters orientation accordingly (e.g., right from north is east).
- Displacement: The shortest distance from the starting point to the final position, found using the Pythagorean theorem if applicable.
- Step-by-step tracing: Draw or imagine the path step-by-step.
2. Given Movements:
- Walks 10 km north
- Turns right → now facing east, walks 5 km
- Turns right again → now facing south, walks 10 km
3. Analyzing the Path:
- Starting point → goes 10 km north.
- Turns right (east) → 5 km east.
- Turns right again (south) → 10 km south, so now he's back in line horizontally with the starting point (same north-south level), but 5 km east.
4. Final Direction and Distance:
- Facing: After last turn, he is facing south.
- Distance from starting point: 5 km (eastward displacement only)
Final Answer:
The man is now facing south and is 5 km away from the starting point.
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