Question

The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the bottom of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.9 m/s. How long is the ladder?

Answer 1

first lets draw the situation-
so here
h=height of the wall from where the ladder is supported
x=base which is basically distence between the wall and lower end point of the ladder
and L=length of the ladder