Q. 104.1( 100 Votes )
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
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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