If a person moves 5 km east and then 5 km south, what is his final position rela

Practice Questions

Q1
If a person moves 5 km east and then 5 km south, what is his final position relative to the starting point? (2021)
  1. 5 km North-East
  2. 5 km South-East
  3. 5 km South-West
  4. 5 km North-West

Questions & Step-by-Step Solutions

If a person moves 5 km east and then 5 km south, what is his final position relative to the starting point? (2021)
  • Step 1: Start at the initial position, which we can call Point A.
  • Step 2: Move 5 km east from Point A to reach Point B.
  • Step 3: From Point B, move 5 km south to reach Point C.
  • Step 4: Now, we need to find the final position (Point C) relative to the starting point (Point A).
  • Step 5: To visualize this, draw a right triangle where one leg is 5 km east and the other leg is 5 km south.
  • Step 6: The distance from Point A to Point C can be calculated using the Pythagorean theorem: distance = √(5^2 + 5^2).
  • Step 7: Calculate the distance: √(25 + 25) = √50, which is approximately 7.07 km.
  • Step 8: The direction from Point A to Point C is south-east, since you moved east and then south.
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