A lighthouse stands 425 m425 m off a straight shore and the
focused beam of its light revolves threethree times each minute. As
shown in the figure, P is the point on shore closest to the
lighthouse and Q is a point on the shore 175 m175 m from P. What is
the speed of the beam along the shore when it strikes the point Q?
Describe how the speed of the beam along the shore varies with the
distance between P and Q. Neglect the height of the
lighthouse.
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