Math Is Fun Forum

Mario23

Member

Registered: 2017-01-03

Posts: 27

A pool table

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)

Mario23

Member

Registered: 2017-01-03

Posts: 27

Re: A pool table

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: A pool table

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.

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anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: A pool table

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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