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Title: | Mathematics at DEC |
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Moderator: | RUSURE::EDP |
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Created: | Mon Feb 03 1986 |
Last Modified: | Fri Jun 06 1997 |
Last Successful Update: | Fri Jun 06 1997 |
Number of topics: | 2083 |
Total number of notes: | 14613 |
1894.0. "College Math Journal 532" by RUSURE::EDP (Always mount a scratch monkey.) Wed Sep 07 1994 17:22
Proposed by Mike Chamberlain and Mark D. Meyerson, United STates Naval
Academy, Annapolis, MD
You are standing on level ground in front of a billboard. When you
look up at it, the top of the billboard measures a feet up the support
from eye level and the bottom of the billboard measures b feet up the
support from eye level. You wish to position yourself in order to
maximize your "viewing angle" (the angle between the lines of sight of
the top and bottom of the billboard). However, a storm has tilted the
billboard, as shown in the accompanying figure. For 0 < phi < pi and 0
< b < a, find the distance x that maximizes theta.
[In the figure below, b = DB, a-b = DC, phi = angle ABC, and theta =
angle DAC.]
C
/
'/
' /
lines ' /
of -> ' /
sight ' / <- billboard
| ' /
v ' /
' '/D
' ' / <- support
''________/
A B
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