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Sagot :
The ladder will move down with a speed of 6.86 feet/second
Given,
The length of the ladder = 25 feet
The base of the ladder pulled away from the wall at a rate = 2 feet/second
The distance from base of the ladder to the wall = 7 feet
We have to find the speed of the top of the ladder moving down;
Here,
Speed = distance/time
2 = 7 / t
t = 7/2 = 3.5 seconds
We can find the length of the wall using Pythagorean theorem;
L² = 25² - 7²
L² = 625 - 49
L² = 576
L = √576
L = 24
The ladder will move down the length at the same time.
Rate = 24/3.5
Rate = 6.86 feet/second
Learn more about speed here;
https://brainly.com/question/15969188
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The question is incomplete. Completed question is given below;
A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when its base is 7 feet from the wall?
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