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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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?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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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