A 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.
Answer: [0.8 m]
Here, AC = 5m, BC = 4 m, AD = 1.6 m
Let CE = x m
In use Pythagoras theorem
Similarly, in triangle EBD use Pythagoras theorem
Hence the top of the ladder would slide up words on the wall at distance is 0.8 m.