A ladder 13 m long is leaning against a vertical wall. The bottom of the ladder is dragged away from the wall along the ground at the rate of 2 cm/sec. How fast is the height on the wall decreasing when the foot of the ladder is 5 m away from the wall ?
consider the ladder of 13m length of AB.
Also set at any line t, the lower end of the laddet be at a distance of xm from the wall BC and at that moment, its height on the wall be ym.
consider the figer show.
we have
As
Here the height on the wall is decreasing at the rate of