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Why am I still up? Well, I was putting some of my magazines away and started sifting through a couple of issues of Omni that I picked up ten years ago. One had "The best of Omni games" and I found some of the puzzles quite interesting. One that caught my eye (which I'm still working on) is the following:
LOOKING BACK. How far from Earth would you have to be to see one third of the surface?
Sounds like a simple math problem right?
Saturday, September 09, 2000 at 06:23:09 (UTC)
The answer is one radius.
The solution involves some simple trig, if I'm right. You shouldn't need any formulas, just some triangle knowledge.
Stephen Hwanking
Saturday, September 09, 2000 at 14:18:32 (UTC)
Using simple trig, I get the same answer as Hwanking for a circle. Assuming that it can be projected to a sphere, the answer should be a radius.
Unfortunately the answer isn't a radius. *goes back to drawing board*
QYV
Saturday, September 09, 2000 at 18:34:28 (UTC)
Is the answer, by any chance, 3.25 radii? If not, then don't forget to post a solution.
Hwanking
Saturday, September 09, 2000 at 19:23:52 (UTC)
The answer, in fact, is not 3.25 radii. I know what the answer is, but there was no solution attached to it, so I don't have a solution to post. But as a hint, your first guess was too low, and your second one was too high.
<- still trying to come up with a solution.
QYV