Question

Hello mates !!!☺☺☺ ⬇️⬇️⬇️ Question: A ladder 5 m long rests with one end against a vertical wall of height 3 m and the other end on the lower ground. If it's top slides down at the rate of 10 cm/sec, find the rate at which the foot of the ladder is sliding .
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Answer 1

Answer:

Heya.........

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Answer : dx/dt = 3/40 m/s

Thus,

The foot of the ladder is sliding at the rate of 0.075 or 3/40 m/sec.

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Answer 2

Step-by-step explanation:

Hola !

let be the height of the ladder as X =5m

and height of the wall as Y =3m

and let be the rate at which it is sliding be Z= 10cm/sec

To find let us use Pythagoras theorem,

=√5²-3²

=√25-9

=√16

=4

To find the rate at which the foot of the ladder is sliding ,

dx/dy=4/10

=2/5 cm/sec

Thank you !