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#Post#: 101--------------------------------------------------
FOOTBALL FIELD
By: eba95 Date: July 30, 2010, 6:13 am
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Football Field
Take a long rope, tie it to the
bottom of the goal post at one
end of a football field. Then run
it across the length of the field
(120 yards) to a goal post at the
other end. Stretch it tight, and then
tie it to the bottom of that goal post,
so that it lies flat against the ground.
Now suppose that I add just 1 foot of
slack to the rope, so that now I can
lift it off the ground at the 50-yard
line. How high can I lift it up?
A. not high enough to fit my finger
under it.
B. just high enough to crawl under
C. just high enough to walk under
D. high enough to drive a truck
under.
Surprise answer: it's D! It will be
13.43 feet high at the 50-yard line!
Presentation Suggestions:
Take a show of hands each possible
answer. For maximum effect, ask
them quickly so that they have to
rely on their intuition and do not
have time to do the calculation. If
anyone answers D, you can playfully
jest "you really think it is high
enough to drive a truck under?" to
see if they are confident of this
answer, or are just doing it because
the answer seems outrageous.
The Math Behind the Fact:
This is a simple, but surprising
application of the Pythagorean
theorem. The answer is the square
root of (180.52 - 1802). Simple
geometric formulas can yield other
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