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Q.

Shahana walks towards South 15 km and then turns towards East to travel 10 km further. She then  travels a distance of 6 km towards the right side and again 12 km towards the right side. Finally, she  travels 17 km towards North. Find the horizontal distance travelled by her in the journey. Also, find the direction she is facing at the end of the journey.   

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a

2 km, North

b

12 km South

c

22 km, North

d

12 km, South

answer is C.

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Detailed Solution

Step-by-Step Path Tracking

  1. South 15 km:
    • From origin, she goes straight down to
      (0,−15)(0, -15)(0,−15)
    • Facing: South
  2. Turns East, 10 km:
    • She turns left to face East, moves right to (10,−15)(10, -15)(10,−15)
    • Facing: East
  3. Right turn (from East to South), 6 km:
    • Right of East is South, moves down to (10,−21)(10, -21)(10,−21)
    • Facing: South
  4. Right turn (from South to West), 12 km:
    • Right of South is West, moves to (−2,−21)(-2, -21)(−2,−21)
    • Facing: West
  5. North 17 km:
    • Moves up to (−2,−4)(-2, -4)(−2,−4)
    • Facing: North

Horizontal Distance Calculation

The horizontal distance covered is the sum of all distances walked, regardless of direction:

15 km+10 km+6 km+12 km+17 km=60 km

Final Direction Faced

After completing all steps, Shahana is facing North.

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