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Arun travels 30 km towards East took a right turn and travels 40 km. Then he took a left turn and traveled 30 km. In which direction is he now from the starting point?
- a)East
- b)South
- c)South-East
- d)North-East
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Arun travels 30 km towards East took a right turn and travels 40 km. T...
Understanding the Movement
Arun's journey can be broken down into distinct segments, which will help us visualize his final position relative to the starting point.
Segment 1: Initial Movement
- Arun starts from the initial point and travels 30 km East.
- At this point, he is 30 km to the East of the starting point.
Segment 2: Right Turn
- After traveling East, he takes a right turn.
- A right turn from East means he is now facing South.
- He then travels 40 km South.
Segment 3: Left Turn
- Upon completing his Southward journey, Arun takes a left turn.
- A left turn from South means he now faces East again.
- He travels 30 km East.
Final Position Analysis
- After the movements, let's summarize:
- From the starting point, he is 30 km East (first segment).
- Then he moved 40 km South.
- Finally, he moved 30 km East again.
- To visualize his final position:
- He is now 60 km East (30 km + 30 km) and 40 km South from the starting point.
Direction from Starting Point
- The final position forms a right triangle with:
- 60 km East (horizontal component)
- 40 km South (vertical component)
- The direction from the starting point to his final position is towards the South-East.
Conclusion
Therefore, Arun is now in the South-East direction from his starting point, making the correct answer option C.
Arun's journey can be broken down into distinct segments, which will help us visualize his final position relative to the starting point.
Segment 1: Initial Movement
- Arun starts from the initial point and travels 30 km East.
- At this point, he is 30 km to the East of the starting point.
Segment 2: Right Turn
- After traveling East, he takes a right turn.
- A right turn from East means he is now facing South.
- He then travels 40 km South.
Segment 3: Left Turn
- Upon completing his Southward journey, Arun takes a left turn.
- A left turn from South means he now faces East again.
- He travels 30 km East.
Final Position Analysis
- After the movements, let's summarize:
- From the starting point, he is 30 km East (first segment).
- Then he moved 40 km South.
- Finally, he moved 30 km East again.
- To visualize his final position:
- He is now 60 km East (30 km + 30 km) and 40 km South from the starting point.
Direction from Starting Point
- The final position forms a right triangle with:
- 60 km East (horizontal component)
- 40 km South (vertical component)
- The direction from the starting point to his final position is towards the South-East.
Conclusion
Therefore, Arun is now in the South-East direction from his starting point, making the correct answer option C.
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Arun travels 30 km towards East took a right turn and travels 40 km. T...
A is starting point and D is final point.
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Arun travels 30 km towards East took a right turn and travels 40 km. Then he took a left turn and traveled 30 km. In which direction is he now from the starting point?a)Eastb)Southc)South-Eastd)North-EastCorrect answer is option 'C'. Can you explain this answer?
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