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It takes a golfer a total of three strokes to put the ball in the hole. The displacements of the three strokes are as follows:

d1 = 4.10 m

the north,

d2 = 1.90 m

northeast, and

d3 = 1.10 m

at

θ = 25.0°

west of south, as shown in the figure. If the golfer had made the hole in a single shot, what would be the displacement of the ball? (Assume the positive y- and x-axes are in the north and east directions, respectively. Give the magnitude of your answer in meters and the direction in degrees north of east.)

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