A television camera is positioned 10000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let's assume the rocket rises vertically and its speed is 800 ft/s when it has risen 24000 ft. (Round the answers to three decimal places.)
(a) How fast is the distance from the television camera to the rocket changing at that moment?

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dr/dt = dr/dy * dy/dt
or implicitly derive the pythagorean theorum and fill in what you know :)

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