Interesting math problem......

Hoeboy

Banned
Apr 20, 2000
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The surface of a pond is a 40x40 square. A reed in the middle of it sticks 8 units out of the water. But when it is pulled gently to the nearest edge of the pond, it barely reaches it. How deep is the pond?


EH?
 

gopunk

Lifer
Jul 7, 2001
29,239
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21 units

model it as a right triangle and use pythagorean theorem... hypotenuse is 8+x, one side is 20, the other side is x.
 

BaDaBooM

Golden Member
May 3, 2000
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A reed in the middle of it sticks 8 units out of the water. But when it is pulled gently to the nearest edge of the pond, it barely reaches it.

Not to nit-pick or anything, but if it is in the middle then how is there a nearest edge? Shouldn't it be equally distant from all four edges? :D
 

DanFungus

Diamond Member
Jul 27, 2001
5,857
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Originally posted by: BaDaBooM
A reed in the middle of it sticks 8 units out of the water. But when it is pulled gently to the nearest edge of the pond, it barely reaches it.

Not to nit-pick or anything, but if it is in the middle then how is there a nearest edge? Shouldn't it be equally distant from all four edges? :D

then it'd be a circle :p