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Varku

Space Marshal
Apr 21, 2016
1,213
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Varku
I'm back and here some joyful math...

There is a box (1m X 1m) next to a wall.
next to that box is a 3m high ladder.
What is the highest point on the wall you can reach with that ladder while it still touches the floor?
Code:
|
|\
|..\
|XXX.\
|XXX...\
 

Sraika

Space Marshal
Nov 7, 2017
2,750
10,555
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RSI Handle
Sraika
I'm back and here some joyful math...

There is a box (1m X 1m) next to a wall.
next to that box is a 3m high ladder.
What is the highest point on the wall you can reach with that ladder while it still touches the floor?
Code:
|
|\
|..\
|XXX.\
|XXX...\
Is this a trick question? Like, just move the damn box, or - even better - put the ladder next to the box. Less effort all around. I'm gonna say the answer is 3m.
 

Ezz

Space Marshal
Feb 4, 2016
943
4,805
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RSI Handle
Pfen
I'm back and here some joyful math...

There is a box (1m X 1m) next to a wall.
next to that box is a 3m high ladder.
What is the highest point on the wall you can reach with that ladder while it still touches the floor?
Code:
|
|\
|..\
|XXX.\
|XXX...\
Okay to be totally honest .. I had to look up what to do after I had the surface A .. but I think it counts anyways: ~ 2,45

sqrt(1² + 1²) = 1,414 = h
(3m * 1,414m) /2 = 2,121 m² = A
(here is the part I did not remember: )
sqrt( 2,121² - (1,414)^4 ) = 0,707 = x

q
= (2,121 - 0,707) / 1,414 = 1
p = 3 - 1 = 2
a = (3 * 1) = 1,732
b = sqrt(3² - 1,732²) = sqrt( 6 ) = 2,45m
 
Last edited:

mromutt

Duck Army
Staff member
Oct 14, 2014
6,631
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mromutt
Okay to be totally honest .. I had to look up what to do after I had the surface A .. but I think it counts anyways: ~ 2,45

sqrt(1² + 1²) = 1,414 = h
(3m * 1,414m) /2 = 2,121 m² = A
(here is the part I did not remember: )
sqrt( 2,21² - (1,414)^4 ) = 0,707 = x

q
= (2,121 - 0,707) / 1,414 = 1
p = 3 - 1 = 2
a = (3 * 1) = 1,732
b = sqrt(3² - 1,732²) = sqrt( 6 ) = 2,45m
3m :D
 

maynard

Space Marshal
May 20, 2014
5,145
20,420
2,995
RSI Handle
mgk
Okay to be totally honest .. I had to look up what to do after I had the surface A .. but I think it counts anyways: ~ 2,45

sqrt(1² + 1²) = 1,414 = h
(3m * 1,414m) /2 = 2,121 m² = A
(here is the part I did not remember: )
sqrt( 2,121² - (1,414)^4 ) = 0,707 = x

q
= (2,121 - 0,707) / 1,414 = 1
p = 3 - 1 = 2
a = (3 * 1) = 1,732
b = sqrt(3² - 1,732²) = sqrt( 6 ) = 2,45m
someone has too much time on their hands
 
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