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Path: utzoo!linus!decvax!decwrl!amd!dual!zehntel!hplabs!hp-pcd!hpfcrs!lief
From: lief@hpfcrs.UUCP (lief)
Newsgroups: net.puzzle
Subject: Ladder problem
Message-ID: <15400003@hpfcrs.UUCP>
Date: Thu, 11-Oct-84 20:21:00 EDT
Article-I.D.: hpfcrs.15400003
Posted: Thu Oct 11 20:21:00 1984
Date-Received: Thu, 18-Oct-84 19:23:31 EDT
Lines: 21
Nf-ID: #N:hpfcrs:15400003:000:958
Nf-From: hpfcrs!lief    Oct 11 16:21:00 1984



         |X|                      This puzzle is very straight forward:
___      |X|    ___
 |       |X|\\    \               Given a 12 foot ladder on the floor leaning
 |       |X| \\    \              against a wall with the corner of a 4 foot
 |       |X|  \\    \             square box touching the ladder as in the
 |       |X|   \\    \            diagram.
 |       |X|    \\    \
 h       |X|     \\   12ft        Problem:  *WITHOUT USING CALCULUS* find the
 |       |X|      \\    \         value of h (height of wall where top of
 |  ___  |X|_______\\    \        ladder is resting).
 |   |   |X|       |\\    \
 |  4ft  |X|       | \\    \      Lief Sorensen
_|_ _|_  |X|_______|  \\   _\_    Hewlett Packard Co.
================================= 
           |- 4ft -|

P.S.  After solving the above, for extra credit replace the 4 foot box with
      a 2 foot radius ball.  With the ladder touching the ball, solve the
      problem as above.