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Posers and Puzzles

Posers and Puzzles

  1. Standard member PBE6
    Bananarama
    23 Mar '07 17:43 / 1 edit
    This one may have been asked before, but it's relatively simple so let's give it a go:

    A construction crew is trying to bring a ladder down a hallway that changes size at the corner. The initial hallway section is 3 metres wide, and the second hallway section is 5 metres wide (from the top view, the corner is a 3x5 metre rectangle). If the crew must carry the ladder horizontally under their arms, and the ladder is of negligible thickness, how long a ladder can the crew fit through the hallway?
  2. Standard member uzless
    The So Fist
    23 Mar '07 17:55 / 3 edits
    Originally posted by PBE6
    This one may have been asked before, but it's relatively simple so let's give it a go:

    A construction crew is trying to bring a ladder down a hallway that changes size at the corner. The initial hallway section is 3 metres wide, and the second hallway section is 5 metres wide (from the top view, the corner is a 3x5 metre square). If the crew must carry the ...[text shortened]... the ladder is of negligible thickness, how long a ladder can the crew fit through the hallway?
    how tall is the ceiling?


    I don't know how to find the mid point of an ellipse....back to grade 8 math for me.

    8 metres would be my best guess without having any formula to rely on.
  3. Standard member ChronicLeaky
    Don't Fear Me
    23 Mar '07 17:58
    Originally posted by PBE6
    This one may have been asked before, but it's relatively simple so let's give it a go:

    A construction crew is trying to bring a ladder down a hallway that changes size at the corner. The initial hallway section is 3 metres wide, and the second hallway section is 5 metres wide (from the top view, the corner is a 3x5 metre square). If the crew must carry the ...[text shortened]... the ladder is of negligible thickness, how long a ladder can the crew fit through the hallway?
    What's a 3x5 metre square?
  4. Standard member PBE6
    Bananarama
    23 Mar '07 18:04
    Originally posted by ChronicLeaky
    What's a 3x5 metre square?
    Haha, oops! That should say "rectangle"...
  5. 23 Mar '07 18:52 / 1 edit
    Originally posted by PBE6
    This one may have been asked before, but it's relatively simple so let's give it a go:

    A construction crew is trying to bring a ladder down a hallway that changes size at the corner. The initial hallway section is 3 metres wide, and the second hallway section is 5 metres wide (from the top view, the corner is a 3x5 metre rectangle). If the crew must carry ...[text shortened]... the ladder is of negligible thickness, how long a ladder can the crew fit through the hallway?
    I would say we need to find the minimum of the following function over the interval X in [0, Pi/2]:

    f(X) = 3/SinX + 5/CosX

    I get something like ~11.19 m. Does that sound about right?
  6. Standard member uzless
    The So Fist
    23 Mar '07 19:14 / 2 edits
    Originally posted by davegage
    I would say we need to find the minimum of the following function over the interval X in [0, Pi/2]:

    f(X) = 3/SinX + 5/CosX

    I get something like ~11.19 m. Does that sound about right?
  7. Standard member DeepThought
    Losing the Thread
    24 Mar '07 01:35
    Originally posted by davegage
    I would say we need to find the minimum of the following function over the interval X in [0, Pi/2]:

    f(X) = 3/SinX + 5/CosX

    I get something like ~11.19 m. Does that sound about right?
    I get the same answer.
  8. Standard member uzless
    The So Fist
    26 Mar '07 14:39
    Originally posted by DeepThought
    I get the same answer.
    I drew it on graph paper...it works out to 11.2 metres also.