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1. \(5 \ m\) 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 \(m\).
 
2. Two trains leave a railway station at the same time. The first train travels due west and the second train due north. The first train travels at a speed of \(20 \ km/hr\) and the second train travels at \(30 \ km/hr\). After \(2\) hours, what is the distance between them?
 
The distance between the two trains is ii \(km\).