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Starting from the point X, Jayant walked 15 m towards west. He turned left and walked 20 m. He then turned left and walked 15 m. After this he turned to his right and walked 12 m. How far and in which directions is now Jayant from X?
  • a)
    32 m, South
  • b)
    47 m, East
  • c)
    42 m, North
  • d)
    27 m, South
Correct answer is option 'A'. Can you explain this answer?
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Starting from the point X, Jayant walked 15 m towards west. He turned ...
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Starting from the point X, Jayant walked 15 m towards west. He turned ...
Starting Point and Initial Movement:
- Jayant starts from point X.
- He walks 15 m towards the west.

First Turn and Movement:
- Jayant turns left after walking 15 m towards the west.
- He walks 20 m in this new direction.

Second Turn and Movement:
- Jayant turns left again after walking 20 m.
- He walks 15 m in this new direction.

Final Turn and Movement:
- Jayant turns right after walking 15 m.
- He walks 12 m in this final direction.

Calculating the Final Position:
- To calculate the final position of Jayant, we need to add up all the distances he has covered in each direction.
- The westward movement is negative and the eastward movement is positive.
- The northward movement is positive and the southward movement is negative.

Distance Calculation:
- Westward Movement: -15 m
- Eastward Movement: 0 m
- Northward Movement: 15 m
- Southward Movement: -12 m

Final Position:
- Jayant is 0 m eastward, 3 m northward, and 12 m southward from the starting point X.
- To find the overall direction and distance, we can calculate the net north-south and east-west distances using the Pythagorean theorem.

Net North-South Distance:
- Net Northward Distance = 15 m - 12 m = 3 m

Net East-West Distance:
- Net Eastward Distance = 0 m - (-15 m) = 15 m

Overall Distance and Direction:
- The overall distance is the hypotenuse of a right-angled triangle with sides of 3 m and 15 m.
- Using the Pythagorean theorem, the overall distance is calculated as √(3^2 + 15^2) = √(9 + 225) = √234 ≈ 15.3 m.
- The overall direction is south from the starting point X.

Conclusion:
- Jayant is approximately 15.3 m southward from the starting point X.
- Therefore, the correct answer is option A: 32 m, South.
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Starting from the point X, Jayant walked 15 m towards west. He turned left and walked 20 m. He then turned left and walked 15 m. After this he turned to his right and walked 12 m. How far and in which directions is now Jayant from X?a)32 m, Southb)47 m, Eastc)42 m, Northd)27 m, SouthCorrect answer is option 'A'. Can you explain this answer?
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Starting from the point X, Jayant walked 15 m towards west. He turned left and walked 20 m. He then turned left and walked 15 m. After this he turned to his right and walked 12 m. How far and in which directions is now Jayant from X?a)32 m, Southb)47 m, Eastc)42 m, Northd)27 m, SouthCorrect answer is option 'A'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Starting from the point X, Jayant walked 15 m towards west. He turned left and walked 20 m. He then turned left and walked 15 m. After this he turned to his right and walked 12 m. How far and in which directions is now Jayant from X?a)32 m, Southb)47 m, Eastc)42 m, Northd)27 m, SouthCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Starting from the point X, Jayant walked 15 m towards west. He turned left and walked 20 m. He then turned left and walked 15 m. After this he turned to his right and walked 12 m. How far and in which directions is now Jayant from X?a)32 m, Southb)47 m, Eastc)42 m, Northd)27 m, SouthCorrect answer is option 'A'. Can you explain this answer?.
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