# A ladder 5m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4m away from the wall??

##### 1 Answer

Jul 30, 2017

#### Answer:

The height is decreasing at the rate of

#### Explanation:

Here , we apply Pythagoras

Differentiating with respect to

Therefore,