smurfy14
  • smurfy14
A 20 m ladder and a 15 m ladder were leaned against a building. The bottom of the longer ladder was 7 m farther from the building than the bottom of the shorter ladder, but both ladders reached the same distance up the building. Find the distance.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
myininaya
  • myininaya
i think its 12 let me show you my picture. first let me draw it better k?
smurfy14
  • smurfy14
ok
myininaya
  • myininaya
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myininaya
  • myininaya
smurfy what do you think?
smurfy14
  • smurfy14
it helps! except the bottom is cutoff..do you think you could repost the bottom part?
myininaya
  • myininaya
it just says what h=sqrt{225-81}=sqrt{144}=12
myininaya
  • myininaya
i'm painting my nails
smurfy14
  • smurfy14
haha nice and oh ok thanks a bunch!
anonymous
  • anonymous
if you call the angle between the ladders x then by law of cosines cos(x)=.8 making sin(x)=.6 and therefore the height is 20*.6=12 which i think was already given as an answer yes?
myininaya
  • myininaya
np
myininaya
  • myininaya
i win satellitle
anonymous
  • anonymous
i know i am slow
smurfy14
  • smurfy14
satellite73 ya i know but i dont get the whole cos sin thing and this makes more sense
anonymous
  • anonymous
ahhh no trig for this one?
myininaya
  • myininaya
did my without law of cosines so you came up with a differnet way gj
anonymous
  • anonymous
oh i see your picture. which might in fact be essentially how one proves the law of cosines!
anonymous
  • anonymous
good work
myininaya
  • myininaya
maybe
myininaya
  • myininaya
i might check tht out later how to prove that
anonymous
  • anonymous
kinda quiet tonight. maybe it is break time
anonymous
  • anonymous
smurfy check the other post you made of this I did it a simpler way
myininaya
  • myininaya
if you on break i might catch up with you
anonymous
  • anonymous
i think that is inevitable.
myininaya
  • myininaya
lol
anonymous
  • anonymous
simpler than the law of cosines version i mean
anonymous
  • anonymous
oh let me see!
myininaya
  • myininaya
i can help 200 people
myininaya
  • myininaya
rbsitale did you see my way?
anonymous
  • anonymous
when you get to 1000 they will send you a bicycle
myininaya
  • myininaya
no way
anonymous
  • anonymous
let me look at yours one sec
smurfy14
  • smurfy14
haha rb ya thats way easier than ur previous way :P
smurfy14
  • smurfy14
*rsvitale not rb lol
anonymous
  • anonymous
yes myininaya thats the way i did it the second time I wasnt thinking and used law of cosines first
myininaya
  • myininaya
oh yay great minds think alike
myininaya
  • myininaya
satellitle is brillant too :)
anonymous
  • anonymous
good I like mathematicians haha
anonymous
  • anonymous
have you seen any of watchmath's problems he posts some interesting ones here.
myininaya
  • myininaya
the calculus dream problem i got close on it i think
anonymous
  • anonymous
i havent seen that one. I did a few of his others though and they were pretty fun.
myininaya
  • myininaya
doing my nails is so hard
myininaya
  • myininaya
i want to put an orange pi symbol on all of them after painting them blue
anonymous
  • anonymous
haha that would be cool
myininaya
  • myininaya
don't think it will work
anonymous
  • anonymous
Ive never seen anyone do that
anonymous
  • anonymous
take a exacto knife and cut out a small pi stencil then stencil it on
anonymous
  • anonymous
an*
myininaya
  • myininaya
i need more finite space on my nails
myininaya
  • myininaya
okay if it works i will post my nails on here later
smurfy14
  • smurfy14
up for helping me with another word problem??
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myininaya
  • myininaya
i will try to help with one hand
smurfy14
  • smurfy14
ok and ill brb
smurfy14
  • smurfy14
ok im back!
myininaya
  • myininaya
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anonymous
  • anonymous
hope smurfy gets the idea of the solution
smurfy14
  • smurfy14
thanks mark; myin how did you break x^2-48x+560 at the end to get the whole -20 stuff???
myininaya
  • myininaya
we had 48=x+560/x i multyplied by x on both sides
anonymous
  • anonymous
do the law of hypotenuse: c^2 = a^2 + b^2 here the height is C, the base is b , and the opposite sides are 15 and 20 c^2 = 20^2 +(7+x)^2 the other one is c^2 = 15^2 + x^2 now equate them together c^2=c^2 we get 20^2 +(7+x)^2=15^2 + x^2 do the little algebra 20^2 - 15^2 + (7^2 +2*7*x)+x^2=x^2 cancel the x^2 175 + 49 +14x=0 oh here it is 14x=224 x=24/14 x=16 answer
smurfy14
  • smurfy14
in the end you went from x(x-20)-28(x-20)=0 to (x-20)(x-28)=0 how did you know to di that?
smurfy14
  • smurfy14
*do
smurfy14
  • smurfy14
mark its a rectangle so if ur right you need another answer
myininaya
  • myininaya
i just factor the long way we have x^2-48x+560=0 if you want you can use the quadratic formula or find factors of 560 that add up to be -48 so we have (x-28)(x-20)=0
smurfy14
  • smurfy14
oh alrighty thanks!
myininaya
  • myininaya
lol you like totally get it?
smurfy14
  • smurfy14
ya i do!! :)
myininaya
  • myininaya
ok wish me luck on my nails?
anonymous
  • anonymous
any luck with your answer yet?..lol
smurfy14
  • smurfy14
good luck and have fun! you should attach a picture to this question when youre done and ill check it out :)
myininaya
  • myininaya
lol k
anonymous
  • anonymous
the answer is x= -16.. you can check it by doing the hypotenuse law c^2= a^2 +b^2 c^2= 15^2 +(-16)^2=481 the other one is c^2= 20^2 +(7-16)^2=481 checked

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