Answer:
0.75 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.
So we can set a Pythagoras theorem as:
Now, we need to find the derivative of above equation with respect to time.
Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be:
Let us solve for y using Pythagoras theorem.
Take positive square root:
Upon substituting our given values in derivative equation, we will get:
Therefore, the ladder is moving up at a rate of 0.75 feet per second.
