I had attempted to prove this one using similar triangles and the resulting equations, since Lazboy had beaten everyone with the answer, but all I ended up with were a couple of equations with too many variables. Bonanova, can this problem be solved that way? If it can I'll go back to the drawing board. If I knew the heights of the brooms where they touched the wall, I could make it work, but only knowing the brooms' lengths I couldn't get there.