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6. (12 points) A 10 feet long ladder is leaning against a straight wall. The ladder makes an angle 0 with the wall. At time

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6. (12 points) A 10 feet long ladder is leaning against a straight wall. The ladder makes an angle 0 with the wall. At time t, the foot of the ladder stars slipping away from the wall at a rate of 0.5 ft/sec. At what rate is the angle 0 changing when the foot of the ladder is 5 feet from the wall? Give answer correct to two decimal places

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