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Math Help - Cuboidal Problem

  1. #1
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    Cuboidal Problem

    A cuboidal room 8 feet wide, 12 feet long and 14 feet high has an attic at a height of 7 feet along its length. If the attic is 4 feet wide, what is the length of the longest ladder that can be put from one of its corner to the attic?

    (A)sqrt(404)
    (B) sqrt(209)
    (C) sqrt(272)
    (D) 13
    (E) 17.89

    Thanks in advance
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  2. #2
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    earboth's Avatar
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    Re: Cuboidal Problem

    Quote Originally Posted by tauseef View Post
    A cuboidal room 8 feet wide, 12 feet long and 14 feet high has an attic at a height of 7 feet along its length. If the attic is 4 feet wide, what is the length of the longest ladder that can be put from one of its corner to the attic?

    (A)sqrt(404)
    (B) sqrt(209)
    (C) sqrt(272)
    (D) 13
    (E) 17.89

    Thanks in advance
    I hope this doesn't come too late...

    1. Draw a sketch.

    2. Actually you are dealing with 2 right triangles. Apply Pythagorean theorem.

    3. The answer is (B).
    Attached Thumbnails Attached Thumbnails Cuboidal Problem-leiterimraum.png  
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  3. #3
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    Re: Cuboidal Problem

    Thanks a lot!!!
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