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A man standing facing north starts walking. After walking for 5 m he took a left turn and walked for 10m. Now he walked for 20 m after turning to his right and again he turned right and finally stopped after walking 10 m. What is the distance from the starting point?
- a)18 m
- b)20 m
- c)15 m
- d)25 m
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Distance from Starting Point
To determine the distance from the starting point, we need to analyze the given information carefully and track the movements of the man.
1. Initial Position:
- The man is initially standing facing north.
2. First Movement:
- He walks 5 meters forward.
- As he is facing north, this movement is in the same direction.
3. First Turn:
- After walking 5 meters, the man takes a left turn.
- This means he is now facing west.
4. Second Movement:
- He walks 10 meters forward.
- As he is facing west, this movement is in the same direction.
5. Second Turn:
- After walking 10 meters, the man takes a right turn.
- This means he is now facing north again.
6. Third Movement:
- He walks 20 meters forward.
- As he is facing north, this movement is in the same direction.
7. Third Turn:
- After walking 20 meters, the man takes a right turn.
- This means he is now facing east.
8. Fourth and Final Movement:
- He walks 10 meters forward.
- As he is facing east, this movement is in the same direction.
9. Final Position:
- After walking 10 meters, the man stops.
- We need to determine the distance between his final position and the starting point.
Calculating the Distance
To calculate the distance from the starting point, we can break down the movements into their respective components.
- North-South Movement:
- The man initially walks 5 meters north and then 20 meters north, so the total north-south movement is 5 + 20 = 25 meters north.
- East-West Movement:
- The man walks 10 meters west and then 10 meters east, so the total east-west movement is 10 - 10 = 0 meters.
Using the Pythagorean theorem, we can calculate the distance from the starting point:
Distance = √((North-South Movement)^2 + (East-West Movement)^2)
= √((25)^2 + (0)^2)
= √(625 + 0)
= √625
= 25 meters
Therefore, the distance from the starting point is 25 meters, which corresponds to option (D).
To determine the distance from the starting point, we need to analyze the given information carefully and track the movements of the man.
1. Initial Position:
- The man is initially standing facing north.
2. First Movement:
- He walks 5 meters forward.
- As he is facing north, this movement is in the same direction.
3. First Turn:
- After walking 5 meters, the man takes a left turn.
- This means he is now facing west.
4. Second Movement:
- He walks 10 meters forward.
- As he is facing west, this movement is in the same direction.
5. Second Turn:
- After walking 10 meters, the man takes a right turn.
- This means he is now facing north again.
6. Third Movement:
- He walks 20 meters forward.
- As he is facing north, this movement is in the same direction.
7. Third Turn:
- After walking 20 meters, the man takes a right turn.
- This means he is now facing east.
8. Fourth and Final Movement:
- He walks 10 meters forward.
- As he is facing east, this movement is in the same direction.
9. Final Position:
- After walking 10 meters, the man stops.
- We need to determine the distance between his final position and the starting point.
Calculating the Distance
To calculate the distance from the starting point, we can break down the movements into their respective components.
- North-South Movement:
- The man initially walks 5 meters north and then 20 meters north, so the total north-south movement is 5 + 20 = 25 meters north.
- East-West Movement:
- The man walks 10 meters west and then 10 meters east, so the total east-west movement is 10 - 10 = 0 meters.
Using the Pythagorean theorem, we can calculate the distance from the starting point:
Distance = √((North-South Movement)^2 + (East-West Movement)^2)
= √((25)^2 + (0)^2)
= √(625 + 0)
= √625
= 25 meters
Therefore, the distance from the starting point is 25 meters, which corresponds to option (D).
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A man standing facing north starts walking. After walking for 5 m he took a left turn and walked for 10m. Now he walked for 20 m after turning to his right and again he turned right and finally stopped after walking 10 m. What is the distance from the starting point?a)18 mb)20 mc)15 md)25 me)None of theseCorrect answer is option 'D'. Can you explain this answer?
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