A man walks 1km due east and then 1km due north. His displacement is

A man walks 1km due east and then 1km due north. His displacement is
  • A.
    1 km N15oE
  • B.
    1 km N30oE
  • C.
    (sqrt 2)km N 45oE
  • D.
    (sqrt 2)km N 60oE
  • E.
    2km N 75oE
Correct Answer: Option C
Explanation

R = (sqrt{1^2 + 1^2}) = (sqrt{2km})
(theta) = tan-1 (frac{(1)}{1}) = 45oC
= (sqrt 2)km N 45oE

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