Request a call back

A ladder, which is 13 m in length, is resting against a wall.  A man starts pulling the foot of the ladder away from the wall at the rate of 3 m/s.  Find the rate at which the top of the ladder is sliding when the foot of the ladder is 5 m away from the wall.
Asked by Topperlearning User | 05 Aug, 2014, 01:23: PM

Let us take x as the distance covered by foot of the ladder in time ‘t’ and y be height of the top of the ladder at time ‘t’.

From the figure, we can see ABC is a

Right angle triangle

Differentiating this equations now with respect to t we get

This means

When x = 5 m, y = 12 m

So,

The height of the top of the ladder is decreasing at the rate of

Answered by | 05 Aug, 2014, 03:23: PM

## Concept Videos

CBSE 12-science - Maths
Asked by saisidh05 | 04 Jul, 2022, 03:04: PM
CBSE 12-science - Maths
Asked by jeevasankar123456 | 17 Jul, 2020, 05:14: PM
CBSE 12-science - Maths
Asked by haroonrashidgkp | 08 Sep, 2018, 04:22: PM
CBSE 12-science - Maths
Asked by haroonrashidgkp | 08 Sep, 2018, 04:18: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 05 Aug, 2014, 12:38: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 05 Aug, 2014, 12:45: PM