East
5.9 + 2.4 cos 20 = 8.16
north
2.4 sin 20 + .5 = 1.32
d^2 = 8.16^2 + 1.32^2
tan heading = 8.16/1.32
heading east of north = 80.8 deg
or
heading north of east = 90-80.8 = 9.19 deg
A golfer, putting on a green, requires three strokes to "hole the ball." During the first putt, the ball rolls 5.9 m due east. For the second putt, the ball travels 2.4 m at an angle 20° north of east. The third putt is 0.50 m due north. What displacement (magnitude and direction relative to due east) would have been needed to "hole the ball" on the very first putt?
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