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**Mario23****Member**- Registered: 2017-01-03
- Posts: 27

What is the ratio between the lengths of a rectangular pool table if a ball launched from one of the sides under an angle of 45° passes through the starting point after 6 reflections?(when I say reflection I mean that the ball hits the side of the table)

*Last edited by Mario23 (2017-05-01 01:35:47)*

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**Mario23****Member**- Registered: 2017-01-03
- Posts: 27

Does anyone have any ideas on this one?Any hints are appreciated.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

It needs a diagram. What does launched from one of the sides mean? Pool tables come in 3 1/2 x 7, 4 x 8, 4 1/2 x 9, 5 x 10 and 6 x 12. This does change the bank angles.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,039

Assuming the last time the ball hits an edge counts for the 6 total, I get a 2:1 ratio for the lengths of the sides. Otherwise, I don't think it's possible.

*Last edited by anonimnystefy (2017-05-02 14:53:28)*

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