I am new to the site, so I hope I am posting correctly. Let me say that I don't have the solution to what I am posting. It is something my dad presented to me as a child and I have never been able to find anyone able to give me a mathematical solution to the problem. I am hoping to get it here. It goes like this....
Imagine a building that is 10 foot x 10 foot x 10 foot on level ground. Running along side of the building is a 100 foot flag pole. The flag pole breaks at such a point that it just touches the opposite corner and the top of the flag pole lands touching the ground. At what point did the flag pole break?
I feel like there is a variable missing, possibly the distance from the corner of the building to the tip of the flag pole. After looking at it, I have a right triangle of unknown angles and sides. I have a point on the hypotenuse at (200^(.5), 10). The flagpole obviously broke less than halfway up.
Divide the tangent by the cosine of negative infinity times .2 and I think that the flagpole broke 48.5 feet above the ground. This would give the upper segment of the pole a length of 51.5 and the top of the pole would be on the ground 17.6 feet from the bottom of the flagpole. I sit back and idly wait for someone to disprove me; I am looking forward to it, in fact.