Henry Ernest Dudeney/Puzzles and Curious Problems/223 - The Tower of Pisa

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Puzzles and Curious Problems by Henry Ernest Dudeney: $223$

The Tower of Pisa
Suppose you were on the top of the Tower of Pisa, at a point where it leans exactly $179$ feet above the ground.
Suppose you were to drop an elastic ball from there such that on each rebound it rose exactly one-tenth of the height from which it fell.
What distance would the ball travel before it came to rest?


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