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Rohan walks a distance of 3 km towards North, then turns to his left and walks for 2 km. He again turns left and walks for 3 km. At this point he turns to his left and walks for 3 km. How many kilometers is he from the starting point?
- a)1 km
- b)2 km
- c)3 km
- d)5 km
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Rohan walks a distance of 3 km towards North, then turns to his left a...
To solve this problem, we will follow the given directions step by step and determine the final position of Rohan.
Step 1: Rohan walks 3 km towards North
- North is the direction above us on a map or compass.
- Therefore, Rohan walks straight ahead for 3 km.
Step 2: Rohan turns left and walks 2 km
- Turning left from the current position means moving in a direction perpendicular to the left side.
- Since Rohan was initially facing North, turning left would mean he is now facing West.
- Rohan walks for 2 km in the West direction.
Step 3: Rohan turns left again and walks 3 km
- Turning left from the current position means moving in a direction perpendicular to the left side.
- Since Rohan was facing West, turning left would mean he is now facing South.
- Rohan walks for 3 km in the South direction.
Step 4: Rohan turns left once more and walks 3 km
- Turning left from the current position means moving in a direction perpendicular to the left side.
- Since Rohan was facing South, turning left would mean he is now facing East.
- Rohan walks for 3 km in the East direction.
Final Position:
- After following all the given directions, we find that Rohan is now 3 km east and 1 km south from his starting point.
- To find the straight-line distance from the starting point, we can use the Pythagorean theorem.
- The distance from the starting point can be calculated as √(3^2 + 1^2) = √10 ≈ 3.16 km.
Conclusion:
Rohan is approximately 3.16 km from the starting point. Since the given options are rounded to the nearest whole number, the correct answer is 1 km, as option A suggests.
Step 1: Rohan walks 3 km towards North
- North is the direction above us on a map or compass.
- Therefore, Rohan walks straight ahead for 3 km.
Step 2: Rohan turns left and walks 2 km
- Turning left from the current position means moving in a direction perpendicular to the left side.
- Since Rohan was initially facing North, turning left would mean he is now facing West.
- Rohan walks for 2 km in the West direction.
Step 3: Rohan turns left again and walks 3 km
- Turning left from the current position means moving in a direction perpendicular to the left side.
- Since Rohan was facing West, turning left would mean he is now facing South.
- Rohan walks for 3 km in the South direction.
Step 4: Rohan turns left once more and walks 3 km
- Turning left from the current position means moving in a direction perpendicular to the left side.
- Since Rohan was facing South, turning left would mean he is now facing East.
- Rohan walks for 3 km in the East direction.
Final Position:
- After following all the given directions, we find that Rohan is now 3 km east and 1 km south from his starting point.
- To find the straight-line distance from the starting point, we can use the Pythagorean theorem.
- The distance from the starting point can be calculated as √(3^2 + 1^2) = √10 ≈ 3.16 km.
Conclusion:
Rohan is approximately 3.16 km from the starting point. Since the given options are rounded to the nearest whole number, the correct answer is 1 km, as option A suggests.
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Rohan walks a distance of 3 km towards North, then turns to his left and walksfor 2 km. He again turns left and walks for 3 km. At this point he turns to his left and walks for 3 km. How many kilometers is he from the starting point? a)1 kmb)2 kmc)3 kmd)5 kmCorrect answer is option 'A'. Can you explain this answer?
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Rohan walks a distance of 3 km towards North, then turns to his left and walksfor 2 km. He again turns left and walks for 3 km. At this point he turns to his left and walks for 3 km. How many kilometers is he from the starting point? a)1 kmb)2 kmc)3 kmd)5 kmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Rohan walks a distance of 3 km towards North, then turns to his left and walksfor 2 km. He again turns left and walks for 3 km. At this point he turns to his left and walks for 3 km. How many kilometers is he from the starting point? a)1 kmb)2 kmc)3 kmd)5 kmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Rohan walks a distance of 3 km towards North, then turns to his left and walksfor 2 km. He again turns left and walks for 3 km. At this point he turns to his left and walks for 3 km. How many kilometers is he from the starting point? a)1 kmb)2 kmc)3 kmd)5 kmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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