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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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Rohan walks a distance of 3 Km towards North, then turns to his left a...
Rohan's Movements
1. Rohan walks a distance of 3 Km towards North.
2. Then he turns left and walks for 2 Km.
3. He again turns left and walks for 3 Km.
4. Finally, he turns left again and walks for 3 Km.
Calculating Rohan's Position
To determine Rohan's distance from the starting point, we need to analyze his movements:
1. First Movement: Rohan walks 3 Km towards North. Since he is moving in a straight line, his distance from the starting point after this movement is 3 Km.
2. Second Movement: Rohan turns left and walks 2 Km. This means that his second movement is perpendicular to his first movement. Therefore, his second movement forms a right-angled triangle with the first movement.
- The first movement, which is towards North, forms the base of the right-angled triangle.
- The second movement, which is towards West (left), forms the perpendicular side of the right-angled triangle.
Using the Pythagorean theorem, we can calculate the hypotenuse, which represents the distance from the starting point after the second movement:
Hypotenuse = sqrt(Base^2 + Perpendicular^2)
Hypotenuse = sqrt(3^2 + 2^2)
Hypotenuse = sqrt(9 + 4)
Hypotenuse = sqrt(13)
Therefore, after the second movement, Rohan is sqrt(13) Km away from the starting point.
3. Third Movement: Rohan turns left again and walks 3 Km. This movement is parallel to his first movement towards North. Therefore, it does not change his distance from the starting point.
4. Fourth Movement: Rohan turns left once more and walks 3 Km. This movement is parallel to his second movement towards West. Again, it does not change his distance from the starting point.
Final Distance from the Starting Point
After analyzing all the movements, we can conclude that Rohan is sqrt(13) Km away from the starting point.
Approximately, sqrt(13) is around 3.61. Since the given options are in whole numbers, the closest option is 1 km (option A).
Therefore, Rohan is approximately 1 km away from the starting point.
1. Rohan walks a distance of 3 Km towards North.
2. Then he turns left and walks for 2 Km.
3. He again turns left and walks for 3 Km.
4. Finally, he turns left again and walks for 3 Km.
Calculating Rohan's Position
To determine Rohan's distance from the starting point, we need to analyze his movements:
1. First Movement: Rohan walks 3 Km towards North. Since he is moving in a straight line, his distance from the starting point after this movement is 3 Km.
2. Second Movement: Rohan turns left and walks 2 Km. This means that his second movement is perpendicular to his first movement. Therefore, his second movement forms a right-angled triangle with the first movement.
- The first movement, which is towards North, forms the base of the right-angled triangle.
- The second movement, which is towards West (left), forms the perpendicular side of the right-angled triangle.
Using the Pythagorean theorem, we can calculate the hypotenuse, which represents the distance from the starting point after the second movement:
Hypotenuse = sqrt(Base^2 + Perpendicular^2)
Hypotenuse = sqrt(3^2 + 2^2)
Hypotenuse = sqrt(9 + 4)
Hypotenuse = sqrt(13)
Therefore, after the second movement, Rohan is sqrt(13) Km away from the starting point.
3. Third Movement: Rohan turns left again and walks 3 Km. This movement is parallel to his first movement towards North. Therefore, it does not change his distance from the starting point.
4. Fourth Movement: Rohan turns left once more and walks 3 Km. This movement is parallel to his second movement towards West. Again, it does not change his distance from the starting point.
Final Distance from the Starting Point
After analyzing all the movements, we can conclude that Rohan is sqrt(13) Km away from the starting point.
Approximately, sqrt(13) is around 3.61. Since the given options are in whole numbers, the closest option is 1 km (option A).
Therefore, Rohan is approximately 1 km away from the starting point.
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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 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 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 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 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 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 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 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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