CBSE Class 12-science Answered
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, 13:23: 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, 15:23: PM
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