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#1 2017-05-01 00:43:52

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)

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#2 2017-05-02 02:08:59

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

Re: A pool table

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

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#3 2017-05-02 07:51:09

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.


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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#4 2017-05-02 14:42:21

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

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.

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


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