Solve this question with a specific solution.
A 12 foot ladder is leaning against a wall so that it makes an angle of 3π radians with the ground. The ladder starts to slide down the wall causing the base of the ladder to slide away from the wall at a rate of 1 foot per second. How fast is the angle between the ladder and the ground changing when the angle is 6π ? (Enter your answer in units rad/s, rounded to the nearest hundredth, i.e. 32 would be rounded to 0.67.)
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