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\(5 \ m\) long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point \(4 \ m\) high. If the foot of the ladder is moved \(1.6 \ m\) towards the wall, then find the distance by which the top of the ladder would slide upwards on the wall.
The top of the ladder would slide upwards on the wall at a distance of \(m\).
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