Results 1 to 5 of 5

Math Help - Two Ladders

  1. #1
    Banned
    Joined
    Jan 2007
    Posts
    315

    Two Ladders

    Two ladders are leaned against a wall such that they make the same angle with the ground. The 10' ladder reaches 8' up the wall. How much further up the wall does the 18' ladder reach?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,807
    Thanks
    116
    Quote Originally Posted by symmetry View Post
    Two ladders are leaned against a wall such that they make the same angle with the ground. The 10' ladder reaches 8' up the wall. How much further up the wall does the 18' ladder reach?
    Hello,

    you are dealing with two similar right triangles. (see attachment).

    Set up the proportion:

    \frac{x}{8}=\frac{18}{10} \Longrightarrow x=\frac{18 \cdot 8}{10} =\frac{144}{10}=14.4'

    EB
    Attached Thumbnails Attached Thumbnails Two Ladders-zwei_leitern.gif  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by earboth View Post
    Hello,

    you are dealing with two similar right triangles. (see attachment).
    You don't need the assumption that the wall is perpendicular, just that
    it is flat.

    RonL
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Banned
    Joined
    Jan 2007
    Posts
    315

    ok

    To earboth, thank you very much for your reply and diagram.

    To Ron,

    Why did you reply to this question if you are having problems with my questions being posted here?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by symmetry View Post
    To earboth, thank you very much for your reply and diagram.

    To Ron,

    Why did you reply to this question if you are having problems with my questions being posted here?
    Because my comment is on earboth's post, and is for the benefit of
    everyone reading this.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Calculus and Ladders.
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 30th 2011, 07:12 PM
  2. Polynomial squaring ladders
    Posted in the Number Theory Forum
    Replies: 25
    Last Post: September 13th 2009, 09:26 AM
  3. Polynomial ladders vs Horner's Scheme
    Posted in the Number Theory Forum
    Replies: 0
    Last Post: August 31st 2009, 05:02 AM
  4. [SOLVED] Crossed ladders problem
    Posted in the Math Topics Forum
    Replies: 0
    Last Post: October 25th 2007, 09:20 AM

Search Tags


/mathhelpforum @mathhelpforum