A television camera is positioned 4000 ft from the base of a rocket launching pad. Theangle of elevation of the camera has to change at the correct rate in order to keep therocket in sight. Also, the mechanism for focusing the camera has to take into accountthe increasing distance from the camera to the rising rocket. Let’s assume the rocketrises vertically and its speed is 600 ft/s when it has risen 3000 ft.(a) How fast is the distance from the television camera to the rocket changing atthat moment?(b) If the television camera is always kept aimed at the rocket, how fast is thecamera’s angle of elevation changing at that same moment

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A: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4ft/s.

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