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KVPY2016PhysicsMathematics in Physics

A person walks 25.0^ north of east for 3.18 ~km . How far would she have to walk due north and then due east to arrive at the same location?

Options

  1. Atowards north 2.88 ~km and towards east 1.34 ~km .
  2. Btowards north 2.11 ~km and towards east 2.11 ~km .
  3. Ctowards north 1.25 ~km and towards east 1.93 ~km
  4. Dtowards north 1.34 ~km and towards east 2.88 ~km

Correct answer

D. towards north 1.34 ~km and towards east 2.88 ~km

Step-by-step solution

P 3.18 = 25^ P =3.18 sin 25^ =1.34 KM along north B =3.18 cos 25^ =2.88 KM along east

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