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Rashmi walks 2 Km towards west, then she walks 10 km towards North and then again 4 Km towards West and she finally walks 18 Km towards South. How far is she from her starting point.
- a)10 Km
- b)18 Km
- c)16 Km
- d)12 Km
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Rashmi walks 2 Km towards west, then she walks 10 km towards North and...
Distance from initial point to final point OD
(By Pythagoras theorem)
(By Pythagoras theorem)
Most Upvoted Answer
Rashmi walks 2 Km towards west, then she walks 10 km towards North and...
Rashmi's Movement:
Rashmi's movement can be broken down into four parts:
1. Walking 2 Km towards the West
2. Walking 10 Km towards the North
3. Walking 4 Km towards the West
4. Walking 18 Km towards the South
Finding the Distance:
To find the distance from Rashmi's starting point, we can consider her movements on a coordinate plane. Let's assume Rashmi's starting point is the origin (0,0) on the plane.
1. Walking 2 Km towards the West:
Moving 2 Km towards the West means Rashmi is now at the point (-2,0) on the plane.
2. Walking 10 Km towards the North:
Moving 10 Km towards the North from (-2,0) would bring Rashmi to the point (-2,10) on the plane.
3. Walking 4 Km towards the West:
Moving 4 Km towards the West from (-2,10) would bring Rashmi to the point (-6,10) on the plane.
4. Walking 18 Km towards the South:
Moving 18 Km towards the South from (-6,10) would bring Rashmi to the point (-6,-8) on the plane.
Distance from the Starting Point:
The distance from the starting point (0,0) to the final point (-6,-8) can be calculated using the distance formula:
Distance = √[(x2 - x1)² + (y2 - y1)²]
Substituting the values, we get:
Distance = √[(-6 - 0)² + (-8 - 0)²]
= √[36 + 64]
= √100
= 10
Therefore, Rashmi is 10 Km away from her starting point.
Answer:
The correct answer is option A) 10 Km.
Rashmi's movement can be broken down into four parts:
1. Walking 2 Km towards the West
2. Walking 10 Km towards the North
3. Walking 4 Km towards the West
4. Walking 18 Km towards the South
Finding the Distance:
To find the distance from Rashmi's starting point, we can consider her movements on a coordinate plane. Let's assume Rashmi's starting point is the origin (0,0) on the plane.
1. Walking 2 Km towards the West:
Moving 2 Km towards the West means Rashmi is now at the point (-2,0) on the plane.
2. Walking 10 Km towards the North:
Moving 10 Km towards the North from (-2,0) would bring Rashmi to the point (-2,10) on the plane.
3. Walking 4 Km towards the West:
Moving 4 Km towards the West from (-2,10) would bring Rashmi to the point (-6,10) on the plane.
4. Walking 18 Km towards the South:
Moving 18 Km towards the South from (-6,10) would bring Rashmi to the point (-6,-8) on the plane.
Distance from the Starting Point:
The distance from the starting point (0,0) to the final point (-6,-8) can be calculated using the distance formula:
Distance = √[(x2 - x1)² + (y2 - y1)²]
Substituting the values, we get:
Distance = √[(-6 - 0)² + (-8 - 0)²]
= √[36 + 64]
= √100
= 10
Therefore, Rashmi is 10 Km away from her starting point.
Answer:
The correct answer is option A) 10 Km.
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