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Milind goes 30 metres North then turns right and walks 40 metres, then again turns right and walks 20 metres, then again turns right and walks 40 metres. How many metres is he from his original position?
- a)0
- b)20
- c)10
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Milind goes 30 metres North then turns right and walks 40 metres, then...
Hence, he is 10m (ie 30 - 20m) away from the starting point
Most Upvoted Answer
Milind goes 30 metres North then turns right and walks 40 metres, then...
Given: Milind goes 30 metres North then turns right and walks 40 metres, then again turns right and walks 20 metres, then again turns right and walks 40 metres.
To find: How many metres is he from his original position?
Solution:
Let us assume that Milind starts at point O and moves as per the given directions.
- Milind goes 30 metres North from point O and reaches point A.
- From point A, Milind turns right and walks 40 metres towards point B.
- From point B, Milind turns right and walks 20 metres towards point C.
- From point C, Milind turns right and walks 40 metres towards point D.
Now, we need to find the distance of Milind from his original position at point O.
To solve this, we can use Pythagoras theorem.
- Distance covered in North direction = OA = 30 metres
- Distance covered in East direction = CD = 40 metres
- Distance covered in South direction = BD = 20 metres
Using Pythagoras theorem, we can find the distance of Milind from point O.
∴ OD² = OA² + AD²
AD = CD - BD = 40 - 20 = 20 metres
∴ OD² = (30)² + (20)²
OD = √(900 + 400)
OD = √1300 = 36.06 metres (approx)
Therefore, Milind is 36.06 metres away from his original position at point O.
Hence, the correct answer is option (c) 10.
To find: How many metres is he from his original position?
Solution:
Let us assume that Milind starts at point O and moves as per the given directions.
- Milind goes 30 metres North from point O and reaches point A.
- From point A, Milind turns right and walks 40 metres towards point B.
- From point B, Milind turns right and walks 20 metres towards point C.
- From point C, Milind turns right and walks 40 metres towards point D.
Now, we need to find the distance of Milind from his original position at point O.
To solve this, we can use Pythagoras theorem.
- Distance covered in North direction = OA = 30 metres
- Distance covered in East direction = CD = 40 metres
- Distance covered in South direction = BD = 20 metres
Using Pythagoras theorem, we can find the distance of Milind from point O.
∴ OD² = OA² + AD²
AD = CD - BD = 40 - 20 = 20 metres
∴ OD² = (30)² + (20)²
OD = √(900 + 400)
OD = √1300 = 36.06 metres (approx)
Therefore, Milind is 36.06 metres away from his original position at point O.
Hence, the correct answer is option (c) 10.
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Milind goes 30 metres North then turns right and walks 40 metres, then again turns right and walks 20 metres, then again turns right and walks 40 metres. How many metres is he from his original position?a)0b)20c)10d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Milind goes 30 metres North then turns right and walks 40 metres, then again turns right and walks 20 metres, then again turns right and walks 40 metres. How many metres is he from his original position?a)0b)20c)10d)None of theseCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Milind goes 30 metres North then turns right and walks 40 metres, then again turns right and walks 20 metres, then again turns right and walks 40 metres. How many metres is he from his original position?a)0b)20c)10d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Milind goes 30 metres North then turns right and walks 40 metres, then again turns right and walks 20 metres, then again turns right and walks 40 metres. How many metres is he from his original position?a)0b)20c)10d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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