w = 9 feet far you should hold the ladder while they climb back in
Let the length be
= 15 feet and open window feet above the ground be k= 12 feet
The value of w will be given by the Pythagoras theorem,
Pythagoras theorem: In a right-angled triangle, the square of the long side is equal to the sum of the squares of the other two sides.
It is stated in this formula:
![w^{2} =l^{2}- k^{2} \\\\w^{2}= 15^{2}- 12^{2} \\\\w^{2} = 225-144\\\\w^{2} = 81\\\\w=9](https://tex.z-dn.net/?f=w%5E%7B2%7D%20%3Dl%5E%7B2%7D-%20k%5E%7B2%7D%20%5C%5C%5C%5Cw%5E%7B2%7D%3D%2015%5E%7B2%7D-%2012%5E%7B2%7D%20%5C%5C%5C%5Cw%5E%7B2%7D%20%3D%20225-144%5C%5C%5C%5Cw%5E%7B2%7D%20%3D%2081%5C%5C%5C%5Cw%3D9)
Hence, w = 9 feet far you should hold the ladder while they climb back in.
Learn more about Pythagoras' theorem here https://brainly.in/question/2829237
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