Three pentagram-shaped stars (the stars formed from the diagonals of a regular pentagon) are stacked up so that the bottom two ends of the tips touch the middle ends of the tips of the star below.
The distance from the top of the stack to the floor (where the bottom star's "feet" rest) is 4 feet.
What is the distance between the bottom two ends of the tips of the stack that touch the floor?
This problem has had three respondents offer the same distance but we've had no joy in having confirmation.
Therefore I can only conclude that Gamer has either a specific method
of solution that none have addressed or else we have read the problem
Revisit the second paragraph of the problem's text. The
assumption has been that the 4 ft is a vertical distance, but is the
meaning that of the oblique distance from the apex of the structure to
'where the bottom star's "feet rest'?
I did evaluate this proportionally, ie, I used the vertical height of 4
ft and half my calculated base to calc the hypotenuse of apex to 'foot'.
This gave me a slightly shorter distance than my earlier solution, but
this value is floating around somewhere in my system so I can't provide
Gamer, is this how we should have read the story?
Posted by brianjn
on 2005-03-08 08:56:49