A searchlight rotates at a rate of 2 revolutions per minute. The beam hits a wall located 7 miles away and produces a dot of light that moves horizontally along the wall. How fast (in miles per hour) is this dot moving when the angle 0 between the beam and the line through the searchlight perpendicular to the wall is ? Note that d0ldt = 2(2x) = 4x. Speed of dot = mph.

A searchlight rotates at a rate of 2 revolutions per minute. The beam hits a wall located 7 miles away and produces a dot of light that moves horizontally along the wall. How fast (in miles per hour) is this dot moving when the angle 0 between the beam and the line through the searchlight perpendicular to the wall is ? Note that d0ldt = 2(2x) = 4x. Speed of dot = mph.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter8: Areas Of Polygons And Circles

Section8.4: Cicumference And Area Of A Cicle

Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...

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