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A man walks 7 km north, 4 km west, and then 7 km south. Where is he now from his starting point?
  • a)
    7 km west
  • b)
    4 km east
  • c)
    4 km west
  • d)
    3 km south
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A man walks 7 km north, 4 km west, and then 7 km south. Where is he no...
After walking, he is back at the original north-south position but has moved 4 km to the west.
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Most Upvoted Answer
A man walks 7 km north, 4 km west, and then 7 km south. Where is he no...
Understanding the Movement
To determine the man's final position relative to his starting point, we can break down his movements step-by-step.
Step 1: First Movement
- The man walks 7 km north.
- His position from the starting point is now (0, 7).
Step 2: Second Movement
- He then walks 4 km west.
- Now, his position changes to (-4, 7).
- Here, -4 represents 4 km west, and 7 remains the distance north.
Step 3: Third Movement
- Finally, he walks 7 km south.
- His new position becomes (-4, 0).
- This is because moving south cancels out the previous 7 km north movement.
Final Position
- The man's final coordinates are (-4, 0), which indicates he is 4 km west of his starting point.
Conclusion
- Therefore, from his starting point, the man is 4 km west.
The correct answer is option 'C'.
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