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Kelly is flying a kite and the kite is 100 ft above the ground (vertically). Kelly...

Kelly is flying a kite and the kite is 100 ft above the ground (vertically). Kelly is holding the ball of string for the kite next to the ground. At the moment when Kelly has let out 300 ft of string, her kite is caught by a remote-controlled airplane flying horizontally through the air, also at a height of 100 ft. If Kelly needs to let out 5 feet of string per second because of the pull of the plane, at what rate is the angle between the string and the vertical increasing?

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