Ladder
Math brain teasers require computations to solve.
Assume the ladder is NOT an extension ladder.
A 25 ft ladder is placed with its foot 7 ft away from a building. If the top of the ladder slips down 4 ft, how many feet will the bottom slide out?
HintIt is not 4 ft. Try some Pythagorean theoreming.
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Answer
8 ft
First triangle: 7 squared + 24 squared = 25 squared, so the top of the ladder was 24 feet high.
24 - 4= 20. 25 squared - 20 squared = 225. Take the square root of that and you get 15: the new base of the triangle. 15 - 7 (the old base) = 8ft
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Comments
Splatt   
Mar 26, 2006
| Yeah craz! Grats on your first teaser. Good job!  |
mitzimesser   
Mar 26, 2006
| Much love to you on your first.  |
paul726   
Mar 26, 2006
| Way to go, CC! Congrats on your first teaser!  |
nurpin
Mar 26, 2006
| The way you worded the question can give the suggestion that the ladder is an extention ladder. Therefore if the top slips down, as you say-- you're not saying the whole ladder slips down 4 ft., just the top --- then the bottom, most likely, will not move at all! For as we all know, extension ladders can have the problem of the top slipping down when not properly hooked, thus making a loud clank, but leaving the bottom of the ladder where it originally was-- give or take a few millimeters or so. |
Crazycriely 
Mar 26, 2006
| YEY!! lol it came from a problem i had for homework so sorry about the confusion |
mrfatbat 
Mar 26, 2006
| It has been sooooooooooo long since I have used pythag theorem  |
cms271828
Mar 26, 2006
| Well done, at least your teasers make it on here, mine are way to difficult for the editors to solve, they assume everyone else can't do it which isn't true.
I'm tired of thinking up puzzles and having em rejected. |
exterminator   
Mar 27, 2006
| Chur teaser rocks.
It's very good. Congrats on getting it accpeted!
I got 6ft. does that count as the right answer? XD |
silverlady   
Mar 27, 2006
| great job, crazy |
sgtammo   
Mar 27, 2006
| Impressive first teaser! I hope to see more.  |
(user deleted)
Mar 28, 2006
| Just for the sake of accuracy, you did mean to put in the solution that 25 squared - 20 squared = 225 right? |
coltonr1   
Mar 28, 2006
| inpressive 1st teaser like mine but wow urs it's off the hook! lol
but im not a math wiz but still good teaser  |
Crazycriely 
Mar 29, 2006
| lol ty everyone!! |
FantomXA   
Mar 30, 2006
| CRAZY wrecks my head... yet again..LOL
 |
warmonkey318   
Mar 31, 2006
| Guess what? i just learned about that Pythagorean Theorem on thursday in math class!! (but i still got it wrong)lol  |
zigthepig   
Apr 03, 2006
| I also just learnt Pythagorus Therom so I got it after reading the hint. Nice job my fellow crazy one  |
gunn56   
Apr 12, 2006
| Hey CC, great first teaser (esp since I'm a Math teacher). I really do love ladder problems and this was a great one. (plus, I did it quick in my head and got it WRONG ...... don't tell my students)  |
Crazycriely 
Apr 12, 2006
| thank you!!! and ok i wont gunn lol |
Mellew    
Apr 22, 2006
| w2g gurlie
P.S. i got it rong |
cb123   
Jun 13, 2006
| cool teaser i liked it but i didnt get it right away but still cool teaser  |
Psychic_Master   
Jun 25, 2006
| Good job on your first teaser, CC! |
jlvsbeks   
Jun 27, 2006
| Ha! I still remember how to do this
(well i only learned it last year, but i don't usually think during the summer) |
dopy13   
Aug 09, 2006
| nerd
it's just dopy lol |
Crazycriely 
Aug 10, 2006
| lol i find it ironic and comical that my first accepted teaser was about a ladder...and i just fell off one a week ago |
walston   
Sep 14, 2006
| boring, but interesting ...just kidding...lol  |
soccerfreak   
Sep 27, 2006
| huh? |
appleandeve  
Sep 28, 2006
| Yayy, I did it-- that was really easy, actually. |
babycee  
Apr 12, 2007
| hey i thought this was a trick question. the bottom stay on the ground. this was hard.  |
(user deleted)
Dec 27, 2007
| The question is worded poorly. The correct answer is that the ladder slips out 1 foot (being the sum of the original 7 plus an extra foot, giving an overall distance from the wall of 8 feet) |
kauphi1976   
Dec 21, 2008
| :-) nce one.. so u mean before by buddy pytho , one would have to use a actual ladder to find the answer ?
johnlr - pls read the answer again.. the ladder slips out 15 ft ... so 8 more than the previous 7ft |
Zarahemla05   
Dec 21, 2008
| I got it, but if I had to show my work, I would have got an F-!
Thanks, great teaser and now I have something to look up and learn!  |
doehead   
Dec 21, 2008
| Math was one of my strongest subjects,so this was easy.  |
crazy10man   
Dec 21, 2008
| Suddenly I'm back in high school again! Will there be a test on this? Great teaser. I'm ready for another!!! |
bradon182001   
Dec 21, 2008
| Math is no my thing. So I didn't even try, but thanks for posting.  |
westbrook  
Dec 21, 2008
| Complicated answer.  |
GebbieRose   
Dec 21, 2008
| Nice teaser.  |
auntiesis    
Dec 21, 2008
| A squared + B squared = C squared, boy does that bring back memories of elementary school. Always loved math. Good one.  |
here2   
Dec 21, 2008
| very nice teaser. I enjoyed it. Thanks. |
Crazycriely 
Dec 21, 2008
| WOO HOO! Second time this has been the Teaser of the Day...I think. =D |
dsjt  
Dec 22, 2008
| I know that 8ft is the correct answer using geometry.
A lateral-thinking (or would that be ladderal thinking) solution would be that both of the ladder's feet slid out. Therefore the ladder slid two feet out. |
avonma   
Dec 24, 2008
| I gave up that kind of math when I graduated from college. I couldn't even understand the explanation!  |
javaguru   
Jan 02, 2009
| 12 seconds in my head. I could even guess the answer before doing it since I was pretty sure you were using a 3-4-5 right triangle for the second part since 25 is a multiple of 5.
Still, nice teaser.  |
opqpop
Sep 11, 2010
| Know your 7-24-25 and 3-4-5's!!!! |
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