Big Brother's Eye

Calculus Level pending

Alex is walking down the street at 4 feet per second. He is walking away from a telephone pole topped with a rotating surveillance camera. This camera follows Alex as he walks. The camera, which can only rotate up or down, is 20 feet above street level. At what speed (in radians per second) is the camera rotating when Alex is 15 feet from the pole? (Out to three decimals)

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