A searchlight rotates at a rate of 2 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/3​? Note that dθ/dt​=2(2π)=4π.