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A person travels 6 km towards the north and then 8 km towards the east. What is the shortest distance from his starting point ?

  • A.8 km
  • B.10 km
  • C.12 km
  • D.14 km

Answer: D

Correct answer: 10 km

The two legs are at right angles, so the shortest distance is the hypotenuse.

\[d = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \text{ km}\]

He has walked 14 km but ends only 10 km from the start.

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