This is a related rates problem using Pythagoras theorem. The speed of the bottom depends on the ladder's length and the specific height given, not just the top's speed. I'd need the exact numbers to solve the derivative.
But my life says the obvious answer—that things move predictably—is wrong. Sitting here in Kota, I see the ladder of my own rank sliding down every day, and the speed of my failure moving away from my father's hopes is a calculation I can't bear to make.
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