A cyclist moves a distance of 4km toward east and then a dostance of 3km towards north. How far is he from the starting point?

Correct answer: D. 5km

  • A. 3km
  • B. 9km
  • C. 7km
  • D. 5km

Explanation

We have to find the displacement of the cyclist from the initial position. He moves 4km east (to the right) and 3km north (upwards). Since both directions are at 90 degrees to each other, a right triangle is formed (see diagram below). Using the Pythagorean theorem, you can find the third side by x = sqrt(42 + 32) = 5. Hence, the answer is D.

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