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Radha moves towards South-East, a distance of 7 Km, then she moves towards West and travels a distance of 14 m. From here, she moves towards North-West a distance of 7 m and finally she moves a distance of 4 m towards East and stood at that point. How far is the starting point from where she now stands?
- a)3 m
- b)4 m
- c)10 m
- d)11 m
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Radha moves towards South-East, a distance of 7 Km, then she moves tow...
Radha’s movements are shown as below:
Radha’s distance from starting point O = OD = (OC– CD) =(AB–CD)
= (14– 4) m = 10 m
= (14– 4) m = 10 m
Most Upvoted Answer
Radha moves towards South-East, a distance of 7 Km, then she moves tow...
Starting Point and Directions
- Let's assume that Radha starts at point A.
- She moves towards South-East for a distance of 7 Km.
- This means that she is moving in a direction that is a combination of South and East.
Moving Towards West
- After moving towards South-East for 7 Km, Radha changes her direction and starts moving towards the West.
- She travels a distance of 14 m in this direction.
Moving Towards North-West
- From her position after moving towards the West, Radha changes her direction again and starts moving towards the North-West.
- She travels a distance of 7 m in this direction.
Moving Towards East and Final Position
- Finally, Radha moves 4 m towards the East from her position after moving towards the North-West.
- She reaches her final position and stands at that point.
Finding the Distance from the Starting Point
- To find the distance from the starting point, we need to consider the net displacement in both the North-South and East-West directions.
- In the North-South direction, Radha moved towards the North-West for a distance of 7 m.
- In the East-West direction, she moved towards the West for a distance of 14 m and then towards the East for a distance of 4 m.
- The net displacement in the North-South direction is 7 m towards the North.
- The net displacement in the East-West direction is 14 m towards the West and then 4 m towards the East, which gives a total displacement of 10 m towards the West.
- Using the Pythagorean theorem, we can calculate the distance from the starting point as follows:
Distance = √((North-South displacement)^2 + (East-West displacement)^2)
= √((7)^2 + (10)^2)
= √(49 + 100)
= √149
≈ 12.2 m
Therefore, the distance from the starting point to where Radha now stands is approximately 12.2 m. Since this option is not given in the available choices, it seems that there might be an error in the given answer options.
- Let's assume that Radha starts at point A.
- She moves towards South-East for a distance of 7 Km.
- This means that she is moving in a direction that is a combination of South and East.
Moving Towards West
- After moving towards South-East for 7 Km, Radha changes her direction and starts moving towards the West.
- She travels a distance of 14 m in this direction.
Moving Towards North-West
- From her position after moving towards the West, Radha changes her direction again and starts moving towards the North-West.
- She travels a distance of 7 m in this direction.
Moving Towards East and Final Position
- Finally, Radha moves 4 m towards the East from her position after moving towards the North-West.
- She reaches her final position and stands at that point.
Finding the Distance from the Starting Point
- To find the distance from the starting point, we need to consider the net displacement in both the North-South and East-West directions.
- In the North-South direction, Radha moved towards the North-West for a distance of 7 m.
- In the East-West direction, she moved towards the West for a distance of 14 m and then towards the East for a distance of 4 m.
- The net displacement in the North-South direction is 7 m towards the North.
- The net displacement in the East-West direction is 14 m towards the West and then 4 m towards the East, which gives a total displacement of 10 m towards the West.
- Using the Pythagorean theorem, we can calculate the distance from the starting point as follows:
Distance = √((North-South displacement)^2 + (East-West displacement)^2)
= √((7)^2 + (10)^2)
= √(49 + 100)
= √149
≈ 12.2 m
Therefore, the distance from the starting point to where Radha now stands is approximately 12.2 m. Since this option is not given in the available choices, it seems that there might be an error in the given answer options.
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Radha moves towards South-East, a distance of 7 Km, then she moves towards West and travels a distance of 14 m. From here, she moves towards North-West a distance of 7 m and finally she moves a distance of 4 m towards East and stood at that point. How far is the starting point from where she now stands? a)3 mb)4 mc)10 md)11 mCorrect answer is option 'C'. Can you explain this answer?
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