A hiker walks from point at the origin to point located due east of

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A hiker walks from point AA at the origin to point BB located 200 m200\,\text{m} due east of AA. The hiker then changes course and travels to point CC located at coordinates (50 m, 150 m)(50\,\text{m},\,150\,\text{m}) relative to the origin. What is the magnitude and direction of the hiker’s net displacement measured from the origin? (Direction is given as an angle measured counterclockwise from due east.) (a) 250 m250\,\text{m}\;at\;36∘36^\circ north of east (b) 150 m150\,\text{m}\;at\;60∘60^\circ north of east (c) 158 m158\,\text{m}\;at\;72∘72^\circ north of east (d) 158 m158\,\text{m}\;at\;18∘18^\circ north of east

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