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Sonia travels 7 km eastwards and then turns right and travels 3 km and further turns right and travels 13 km. What is the horizontal distance between the final destination and starting point?
  • a)
    6 km
  • b)
    7 km
  • c)
    16 km
  • d)
    None of these
  • e)
    18 km
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Sonia travels 7 km eastwards and then turns right and travels 3 km an...
Hence, the horizontal distance is 6 km.
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Sonia travels 7 km eastwards and then turns right and travels 3 km an...
To find the horizontal distance between the final destination and the starting point, we need to analyze the given information and determine the net displacement in the horizontal direction.

Given:
- Sonia travels 7 km eastwards.
- She then turns right and travels 3 km.
- She further turns right and travels 13 km.

Let's break down the given information step by step:

1. Sonia travels 7 km eastwards:
- This means she moves 7 km in the positive x-direction (to the right).

2. She then turns right and travels 3 km:
- Turning right after moving eastwards means she is now moving in the positive y-direction (upwards).
- She travels 3 km in the positive y-direction.

3. She further turns right and travels 13 km:
- Since she turns right again, she is now moving in the negative x-direction (to the left).
- She travels 13 km in the negative x-direction.

To determine the net displacement in the horizontal direction, we need to calculate the total distance covered in the positive x-direction (eastwards) and the negative x-direction (westwards). We can ignore the distance covered in the y-direction as it does not affect the horizontal distance.

Total distance covered in the positive x-direction: 7 km
Total distance covered in the negative x-direction: 13 km

To find the net displacement, we subtract the total distance covered in the negative x-direction from the total distance covered in the positive x-direction:

Net displacement = Total distance in positive x-direction - Total distance in negative x-direction
Net displacement = 7 km - 13 km
Net displacement = -6 km

The negative sign indicates that the net displacement is in the negative x-direction (to the left).

Therefore, the horizontal distance between the final destination and the starting point is 6 km to the left of the starting point.

Hence, the correct answer is option A) 6 km.
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Sonia travels 7 km eastwards and then turns right and travels 3 km and further turns right and travels 13 km. What is the horizontal distance between the final destination and starting point?a)6 kmb)7 kmc)16 kmd)None of thesee)18 kmCorrect answer is option 'A'. Can you explain this answer?
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