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In this problem all angles are measured counterclockwise with respect to the positive x-axis. A hiker travels at angle 30± for 10 s at a speed of 2 m/s. In the second leg of her trip, the hiker travels at angle 225± for 20 s at 1.5 m/s. At the end of the third leg of her trip, the hiker finds that for the whole trip of three legs her net displacement has magnitude 25 m and is directed at angle 180±. What is the angle of the third leg?

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