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A cyclist cycles 3.5 km West, then turns North and cycles 2.5 km North, then turns to his right and cycles 3.5 km, then turns North and cycles 4.5 km. Where is he now with respect to his starting position?
- a)2 km North
- b)7 km South
- c)7 km North
- d)2 km South
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A cyclist cycles 3.5 km West, then turns North and cycles 2.5 km Nort...
The diagram below shows the path followed by the cyclist,
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Clearly, we can see that the endpoint is 7 km towards the north direction from his starting point.
Most Upvoted Answer
A cyclist cycles 3.5 km West, then turns North and cycles 2.5 km Nort...
Given Information:
A cyclist starts at a certain point and follows the following path:
1. Cycles 3.5 km West
2. Turns North and cycles 2.5 km
3. Turns right and cycles 3.5 km
4. Turns North and cycles 4.5 km
To Find:
The final position of the cyclist with respect to his starting position.
Approach:
Let's consider the starting position as the origin (0, 0) on a Cartesian coordinate system, where the x-axis represents the East-West direction and the y-axis represents the North-South direction.
We can break down the given path into four legs and find the final coordinates of the cyclist after each leg.
Leg 1: Cycles 3.5 km West
Moving west means decreasing the x-coordinate by 3.5 km.
Final position after Leg 1: (-3.5, 0)
Leg 2: Turns North and cycles 2.5 km
Moving north means increasing the y-coordinate by 2.5 km.
Final position after Leg 2: (-3.5, 2.5)
Leg 3: Turns right and cycles 3.5 km
Turning right from the current direction (North) means moving East.
Moving East means increasing the x-coordinate by 3.5 km.
Final position after Leg 3: (0, 2.5)
Leg 4: Turns North and cycles 4.5 km
Moving north means increasing the y-coordinate by 4.5 km.
Final position after Leg 4: (0, 7)
Conclusion:
After completing all four legs, the cyclist is at the final position (0, 7) with respect to his starting position (0, 0).
Therefore, the correct answer is option 'C' - 7 km North.
A cyclist starts at a certain point and follows the following path:
1. Cycles 3.5 km West
2. Turns North and cycles 2.5 km
3. Turns right and cycles 3.5 km
4. Turns North and cycles 4.5 km
To Find:
The final position of the cyclist with respect to his starting position.
Approach:
Let's consider the starting position as the origin (0, 0) on a Cartesian coordinate system, where the x-axis represents the East-West direction and the y-axis represents the North-South direction.
We can break down the given path into four legs and find the final coordinates of the cyclist after each leg.
Leg 1: Cycles 3.5 km West
Moving west means decreasing the x-coordinate by 3.5 km.
Final position after Leg 1: (-3.5, 0)
Leg 2: Turns North and cycles 2.5 km
Moving north means increasing the y-coordinate by 2.5 km.
Final position after Leg 2: (-3.5, 2.5)
Leg 3: Turns right and cycles 3.5 km
Turning right from the current direction (North) means moving East.
Moving East means increasing the x-coordinate by 3.5 km.
Final position after Leg 3: (0, 2.5)
Leg 4: Turns North and cycles 4.5 km
Moving north means increasing the y-coordinate by 4.5 km.
Final position after Leg 4: (0, 7)
Conclusion:
After completing all four legs, the cyclist is at the final position (0, 7) with respect to his starting position (0, 0).
Therefore, the correct answer is option 'C' - 7 km North.
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A cyclist cycles 3.5 km West, then turns North and cycles 2.5 km North, then turns to his right and cycles 3.5 km, then turns North and cycles 4.5 km. Where is he now with respect to his starting position?a)2 km Northb)7 km Southc)7 km Northd)2 km SouthCorrect answer is option 'C'. Can you explain this answer?
Question Description
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A cyclist cycles 3.5 km West, then turns North and cycles 2.5 km North, then turns to his right and cycles 3.5 km, then turns North and cycles 4.5 km. Where is he now with respect to his starting position?a)2 km Northb)7 km Southc)7 km Northd)2 km SouthCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A cyclist cycles 3.5 km West, then turns North and cycles 2.5 km North, then turns to his right and cycles 3.5 km, then turns North and cycles 4.5 km. Where is he now with respect to his starting position?a)2 km Northb)7 km Southc)7 km Northd)2 km SouthCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A cyclist cycles 3.5 km West, then turns North and cycles 2.5 km North, then turns to his right and cycles 3.5 km, then turns North and cycles 4.5 km. Where is he now with respect to his starting position?a)2 km Northb)7 km Southc)7 km Northd)2 km SouthCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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