X 0 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the camera can be found by 0 = tan ¹(2000) where a is the height of the rocket. Find the rate of change of the angle of elevation after launch when the camera and the rocket are 3088 feet apart. 0' = radians per foot. Round to five decimal places.

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