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A boat is cruising at a constant speed of 20 ft/sec along a course that is parallel to a straight shoreline and 100 ft from it. A spectator standing on the shore begins to videotape the boat as soon as it passes him. (See the attached diagram.) Find the rate at which the spectator must rotate his camera in order to keep the boat in view when t = 1 and 2.5 seconds.

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The expert finds the rate at which the spectator must rotate his camera in order to keep the boat in view.

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