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A person travels 6 km south, then 8 km east, and finally 6 km north. How far is

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Question: A person travels 6 km south, then 8 km east, and finally 6 km north. How far is he from the starting point?

Options:

  1. 8 km
  2. 6 km
  3. 10 km
  4. 4 km

Correct Answer: 8 km

Solution: 

He is 8 km east from the starting point.

A person travels 6 km south, then 8 km east, and finally 6 km north. How far is

Practice Questions

Q1
A person travels 6 km south, then 8 km east, and finally 6 km north. How far is he from the starting point?
  1. 8 km
  2. 6 km
  3. 10 km
  4. 4 km

Questions & Step-by-Step Solutions

A person travels 6 km south, then 8 km east, and finally 6 km north. How far is he from the starting point?
  • Step 1: Start at the starting point (let's call it point A).
  • Step 2: Travel 6 km south to reach point B.
  • Step 3: From point B, travel 8 km east to reach point C.
  • Step 4: From point C, travel 6 km north to reach point D.
  • Step 5: Now, point D is directly east of point A because you traveled south and then back north the same distance.
  • Step 6: The distance from point A to point D is the same as the distance you traveled east, which is 8 km.
  • Distance and Direction – Understanding how to calculate the resultant distance from a starting point based on movements in different directions.
  • Pythagorean Theorem – Applying the Pythagorean theorem to find the straight-line distance between two points in a coordinate system.
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