CAYLEY 2006 Problem 25

A semi-circle of radius 8\:cm, rocks back and forth along a line. The distance between the line on which the semicircle sits and the line above is 12\:cm. As it rocks without slipping, the semi-circle touches the line above at two points. (When the semi-circle hits the line above, it immediately rocks back in the other direction.) The distance between these two points, in millimetres, is closest to

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Answer Choices
A. 55
B. 53
C. 51
D. 49
E. 47