A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

smurfy14

  • 5 years ago

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.

  • This Question is Closed
  1. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i think its 12 let me show you my picture. first let me draw it better k?

  2. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  3. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1 Attachment
  4. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    smurfy what do you think?

  5. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it helps! except the bottom is cutoff..do you think you could repost the bottom part?

  6. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it just says what h=sqrt{225-81}=sqrt{144}=12

  7. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i'm painting my nails

  8. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    haha nice and oh ok thanks a bunch!

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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?

  10. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    np

  11. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i win satellitle

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i know i am slow

  13. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    satellite73 ya i know but i dont get the whole cos sin thing and this makes more sense

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ahhh no trig for this one?

  15. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    did my without law of cosines so you came up with a differnet way gj

  16. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh i see your picture. which might in fact be essentially how one proves the law of cosines!

  17. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    good work

  18. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    maybe

  19. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i might check tht out later how to prove that

  20. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    kinda quiet tonight. maybe it is break time

  21. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    smurfy check the other post you made of this I did it a simpler way

  22. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if you on break i might catch up with you

  23. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think that is inevitable.

  24. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lol

  25. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    simpler than the law of cosines version i mean

  26. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh let me see!

  27. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i can help 200 people

  28. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    rbsitale did you see my way?

  29. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    when you get to 1000 they will send you a bicycle

  30. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no way

  31. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    let me look at yours one sec

  32. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    haha rb ya thats way easier than ur previous way :P

  33. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    *rsvitale not rb lol

  34. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes myininaya thats the way i did it the second time I wasnt thinking and used law of cosines first

  35. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh yay great minds think alike

  36. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    satellitle is brillant too :)

  37. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    good I like mathematicians haha

  38. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    have you seen any of watchmath's problems he posts some interesting ones here.

  39. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the calculus dream problem i got close on it i think

  40. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i havent seen that one. I did a few of his others though and they were pretty fun.

  41. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    doing my nails is so hard

  42. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i want to put an orange pi symbol on all of them after painting them blue

  43. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    haha that would be cool

  44. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    don't think it will work

  45. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ive never seen anyone do that

  46. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    take a exacto knife and cut out a small pi stencil then stencil it on

  47. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    an*

  48. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i need more finite space on my nails

  49. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    okay if it works i will post my nails on here later

  50. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    up for helping me with another word problem??

    1 Attachment
  51. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i will try to help with one hand

  52. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok and ill brb

  53. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok im back!

  54. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1 Attachment
  55. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hope smurfy gets the idea of the solution

  56. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks mark; myin how did you break x^2-48x+560 at the end to get the whole -20 stuff???

  57. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we had 48=x+560/x i multyplied by x on both sides

  58. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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

  59. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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?

  60. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    *do

  61. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    mark its a rectangle so if ur right you need another answer

  62. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  63. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh alrighty thanks!

  64. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lol you like totally get it?

  65. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ya i do!! :)

  66. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok wish me luck on my nails?

  67. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    any luck with your answer yet?..lol

  68. smurfy14
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    good luck and have fun! you should attach a picture to this question when youre done and ill check it out :)

  69. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lol k

  70. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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

  71. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.