Pool Table Trick Shot: Upper Secondary Mathematics Competition Question

Below is a diagram of a simple pool table. It has a length of 2 metres, a width of 1 metre and pockets at the four corners A, B, C and D. When a ball strikes a side of the pool table, it bounces off at the same angle as it hit that side. A ball is initially at point P, 25 cm from pocket D along side AD. It is struck in such a way as to bounce off sides CD and BC and then land in pocket A.

At what distance from C does the ball strike the side BC?

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