a girl delvering newspaper covers her route by traveling 2 locks west, 2 blocks north, then 9 blocks east. what is her direction? use counterclockwise as rhe positive angular direction from due east, between the limits of -180 egrees and 180 degrees. Her displacement is 7.28

Question

turingtest · Answer

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add the vectors:the y-component is 2
the x-component is 2-9=-7
2/(-7)=tan (theta)
theta=arctan (-2/7)=-0.278 radians
we know from the picture that this is in the wrong quadrant (IV), so to get it into the proper quadrant (II) we add pi
-0.278+(pi)=2.863 rad