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Rohan starts walking in north-east direction and travels 30 meter. Now he moves towards east and walks 20 meter. Now he turns towards south west and moves 30 meter and finally walks towards west for 5 meter and stopped. Find the distance of rohan from the starting point.
- a)10m
- b)15m
- c)20m
- d)25m
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Rohan starts walking in north-east direction and travels 30 meter. Now...
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Rohan starts walking in north-east direction and travels 30 meter. Now...
Given Information:
Rohan starts walking in north-east direction and travels 30 meter. Now he moves towards east and walks 20 meter. Now he turns towards south west and moves 30 meter and finally walks towards west for 5 meter and stopped.
To Find:
The distance of Rohan from the starting point.
Solution:
Let's assume that Rohan is starting from point A.
From the given information, Rohan moves in three different directions:
- North-east direction for 30 meters
- East direction for 20 meters
- South-west direction for 30 meters
Now, let us draw a diagram to represent the movements of Rohan.
From the diagram, we can see that Rohan has moved 10 meters towards the north direction from point A.
Now, we need to find the distance of Rohan from point A after he walks towards the west for 5 meters.
We can form a right-angled triangle with sides 10m, 5m, and x (distance from A).
Using Pythagoras theorem, we have:
x² = 10² + 5²
x² = 125
x = √125
x = 5√5
Therefore, the distance of Rohan from the starting point is 5√5 meters or approximately 11.2 meters.
Hence, option B (15m) is the correct answer.
Rohan starts walking in north-east direction and travels 30 meter. Now he moves towards east and walks 20 meter. Now he turns towards south west and moves 30 meter and finally walks towards west for 5 meter and stopped.
To Find:
The distance of Rohan from the starting point.
Solution:
Let's assume that Rohan is starting from point A.
From the given information, Rohan moves in three different directions:
- North-east direction for 30 meters
- East direction for 20 meters
- South-west direction for 30 meters
Now, let us draw a diagram to represent the movements of Rohan.
From the diagram, we can see that Rohan has moved 10 meters towards the north direction from point A.
Now, we need to find the distance of Rohan from point A after he walks towards the west for 5 meters.
We can form a right-angled triangle with sides 10m, 5m, and x (distance from A).
Using Pythagoras theorem, we have:
x² = 10² + 5²
x² = 125
x = √125
x = 5√5
Therefore, the distance of Rohan from the starting point is 5√5 meters or approximately 11.2 meters.
Hence, option B (15m) is the correct answer.
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