A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being pushed horizontally towards the wall at 2 meters per second, how fast is the top of the ladder moving when the bottom of the ladder is 6 meters away from the wall? Write the answer in its exact form as an integer or a fraction in lowest terms. The top of the ladder is moving at the rate of 6.63 meters per second, at an instant.

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