A searchlight rotates at a rate of 4 revolutions per minute. The beam hits a wall located 11 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 θ between the beam and the line through the searchlight perpendicular to the wall is π/6 (30 degrees) ? Note that dθ/dt = 4(2π)=8π .

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First convert the rotation rate to radhr Relate x to using the tangen... View the full answer