Hate to do this, but help on this problem

Discussion in 'General Discussions' started by rarehunternick, Apr 14, 2009.

  1. rarehunternick

    rarehunternick Level II

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    here it is...

    A fence 3 feet tall runs parallel to a tall building at a distance of 6 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? [Hint: Determine the length of a ladder that touches the building, fence, and ground as a function of the acute angle the ladder makes with the ground.]
     
  2. skeithman25

    skeithman25 Newbie

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    Well, if you draw two triangles : one from the top of the fence to the wall and one from the ground to the top of the fence, they both have angle p and the length of one hypotenuse is 6/cosp and the other 3/sinp. Total length 6/cosp + 3/sinp

    Or you could have 6/sin(90-p) and 3/sinp which might be easier? Sorry I can't help more.

    It might help you to know that sinx/cosx = tanx for rearranging and stuff.