Here's a problem I picked up at a recent conference:

In rugby, there are two goal posts, G1 and G2.

L | | | | G1 G2 | | | | |P | | | |

There's a kicker at point P, somewhere on line L, which is perpendicular to the line through G1 and G2. Where should P be to maximize the angle G1PG2 (in other words, the best scoring position)? --- Al Cuoco Education Development Center, Inc. alc@media.mit.edu