Hello everyone,

I did the following SAT problem correctly using Pythagoras' Theorem and algebra, but I would like to try to do it with calculus. Is it possible to do this problem as a related rates problem?

Thank you.

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1. A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on concrete 7 feet from the base of the building. If the top of the ladder slips down 4 feet, then the bottom of the ladder will slide out ___ feet.

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Let:

= height of the ladder on wall

= distance of the base of the ladder to the wall

Therefore:

I am not sure what to substitute as x and y here.