Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site pur-ee.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxl!ihnp4!inuxc!pur-ee!kaiser From: kaiser@pur-ee.UUCP (Kaiser) Newsgroups: net.puzzle Subject: RE: Re: More on the color of the Bear? (spoiler) Message-ID: <2072@pur-ee.UUCP> Date: Wed, 22-Aug-84 12:08:15 EDT Article-I.D.: pur-ee.2072 Posted: Wed Aug 22 12:08:15 1984 Date-Received: Thu, 23-Aug-84 02:09:04 EDT References: <528@asgb.UUCP>, <153@zinfandel.UUCP> Organization: Electrical Engineering Department , Purdue University Lines: 26 [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. ------------------------------------------------------------------------- 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. ===== "First, one's free, son..." Hao-Nhien Qui Vu {alberta, decvax, ihnp4, hao, harpo, seismo, ucbvax}pur-ee!vu -------------------------------------------------------------------------