Physics

Problem

A hiker walks from point

A

at the origin to point

B

located

200\,\text{m}

due east of

A

. The hiker then changes course and travels to point

C

located at coordinates

(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\,\text{m}

\;at\;

36^\circ

north of east b)

150\,\text{m}

\;at\;

60^\circ

north of east c)

158\,\text{m}

\;at\;

72^\circ

north of east d)

158\,\text{m}

\;at\;

18^\circ

north of east

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