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Ravi walks in the west direction for a distance of 4 km. He then turns southwards and walks for 3 km. He then turns towards east and walks for 8 km. What is the minimum distance between his initial position and final position?
  • a)
    6
  • b)
    5
  • c)
    7
  • d)
    4
  • e)
    3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Ravi walks in the west direction for a distance of 4 km. He then turns...
1) Ravi walks in the west direction for a distance of 4 km.
2) He then turns southwards and walks for 3 km. He then turns towards east and walks for 8 km.
 
Applying Pythagoras’s Theorem, we get the required distance as 5 km.
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Most Upvoted Answer
Ravi walks in the west direction for a distance of 4 km. He then turns...
Understanding Ravi's Movement
Ravi's journey can be visualized on a coordinate plane, starting from an initial point (0, 0). Let's break down his movements step by step:
Step 1: Walking West
- Ravi walks 4 km west.
- This means he moves from (0, 0) to (-4, 0).
Step 2: Turning South
- Next, he turns south and walks 3 km.
- His new position is now (-4, 0) to (-4, -3).
Step 3: Turning East
- Finally, he turns east and walks 8 km.
- This takes him from (-4, -3) to (4, -3).
Calculating the Minimum Distance
To find the minimum distance between his initial position (0, 0) and final position (4, -3), we can use the distance formula. The formula for distance between two points (x1, y1) and (x2, y2) is:
- Distance = √((x2 - x1)² + (y2 - y1)²)
Plugging in the points:
- Distance = √((4 - 0)² + (-3 - 0)²)
- Distance = √(4² + (-3)²)
- Distance = √(16 + 9)
- Distance = √25
- Distance = 5 km
Conclusion
The minimum distance between Ravi's initial position and final position is 5 km, confirming that the correct answer is option 'B'.
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Ravi walks in the west direction for a distance of 4 km. He then turns southwards and walks for 3 km. He then turns towards east and walks for 8 km. What is the minimum distance between his initial position and final position?a)6b)5c)7d)4e)3Correct answer is option 'B'. Can you explain this answer?
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