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A child slides down a snow-covered slope on a sled. At the top of the hill, her mother gives her a push at a speed of 0.9 m/s to obtain her started. The frictional force acting on the sled is one-fifth of the combined weight of the child and the sled. If she travels for a distance of 22.5 m and her speed at the bottom is 3.9 m/s, compute the angle that the hill makes with the horizontal.

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