# A ladder 5 m long

Let y be the height of the wall at which the ladder touches. Also, let the foot of the ladder be x m away from the wall.

we know that, by Pythagoras theorem,

x2 + y2 = 25

Then, the rate of change of height (y) with respect to time (t) is given by:

Now, it is given that

Therefore,

And when x= 4 m, then

=

Therefore, the height of the ladder on the wall is decreasing at the rate of  m/s.

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