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A shopper pushes a cart 33 m south down one aisle and then turns 90.0° west and moves 22 m. He then makes another90.0° turn and moves 16 m.(a) What is the largest possible displacement of the shopper?m ° counterclockwise from west(b) What is the smallest possible displacement of the shopper?m ° counterclockwise from west
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33.75 degrees. If your shopper can only be 27m away he must head back north on his final turn making his path look somewhat like a "J". 33m south - 18m north = 15m south, this is the height of your triangle. Using that height and the 27m hypotenuse given in the question your angle is then found by (sin^-1)(15/27) = 33. 75 degrees CCW from west.
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