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A lighthouse is 1 mile from a perpendicular shore with a night light rotating at a rate of 6 revolutions per minute. How fast is the light beam moving down the shore line when it is 1 mile from the perpendicular?
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the circumference of the circle of rotation is 2*pi*r = 2*pi miles. Since it rotates 6 times per minute, the speed is 2*pi/6 miles/minute
or did i not understand the question
The question is asking for the speed of the exact moment when the light beam is perpendicular to the shore line.
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