Question

A ladder 24ft long leans against a vertical wall. The lower end is movimo away at the rate of 3ft/sec.Find the rate at whwhi the top of the ladder is movinm downwards, if the foot is 8ft away from the wall.

Answer 1

Answer:

Step-by-step explanation:

Let y m be the height of the wall at which the ladder touches. Also, let the foot of the ladder be x maway from the wall.

Then, by Pythagoras theorem, we have:

x2 + y2 = 25 [Length of the ladder = 5 m]

Then, the rate of change of height (y) with respect to time (t) is given by,

It is given that.

Now, when x = 4 m, we have:

Hence, the height of the ladder on the wall is decreasing at the rate of

Answer 2

Refer the attachement for better understanding

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