kaiser@pur-ee.UUCP (Kaiser) (08/22/84)
[Did you say bugs eat this ?]
Posting for Hao-Nhien Vu. Reply to him please. Just change the last
item in the address from 'kaiser' to 'vu'. Thank you.
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Problem>Hunters go south 50 miles, west 50 miles, shoot bear, go north
50 miles and are home. Find a location different from the North Pole
where their home is.
I think this is in one of Martin Gardner's articles:
At some point in the Southern Hemisphere (you know, the Land Down Under ),
going east/west 50 miles means making N ( N = 1, 2, 3, ... ) complete round(s)
around the earth. Just start that 50 miles north of such point.
The place where 50 miles east/west makes N complete rounds can be found:
Let r = 50 / (2 N pi) and R = radius of the earth ( in miles ). Then that
place is at Arccos(r/R) South.
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"First, one's free, son..."
Hao-Nhien Qui Vu {alberta, decvax, ihnp4, hao, harpo, seismo, ucbvax}pur-ee!vu
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