Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The ladder is represented with red color and the length of the ladder is given as 15 feet.
When the bottom of the ladder is 9 feet from the wall, at that instant, the height of the ladder can be find by using Pythagorean theorem.
Subtracting 81 in both sides
Taking square root of both sides
Now, we know
Differentiating with respect of t
As per given in question, top of the ladder slides down the wall at the rate of 0.33 ft per second.
Downwards means its negative, so
Plugging the value of as -0.33
Plugging the value of x and y that we previously found
Dividing 9 in both sides
Hence the bottom of the ladder is sliding at 0.44 feet per second. : Answer
Hope it will help :)