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A school inspector starts from the school gate, walks 10 km north, turns right and walks 6 km, turns right again and walks 5 km, then turns…

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A school inspector starts from the school gate, walks 10 km north, turns right and walks 6 km, turns right again and walks 5 km, then turns left and walks 6 km. How far is he now from the gate and in which direction?

  • A13 km, north-east
  • B13 km, south-east
  • C12 km, east
  • D11 km, north-east
Correct answer: A

Explanation

Final position is 12 km east and 5 km north of the start: distance = √(12² + 5²) = 13 km, towards north-east.

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