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Math Help - Trig problem help. Similar triangles

  1. #1
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    Jun 2009
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    Trig problem help. Similar triangles

    Hello,

    I've been doing problems like this for awhile now. And most have been relatively easy, but I've hit a wall on this one. If anyone could help me out or point me in the right direction, that would be great.



    The problem is to find Y in terms of x1 and x2 using similar triangles.

    Thank you
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  2. #2
    Newbie
    Joined
    Jun 2009
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    I'm still unable to come up with a formula in terms of x1 and x2 However in the next problem I'm given values for the variables.

    x1 = 30 x2 = 40
    and the distance between x1 and x2 = 100.

    So using what we know about right triangles, I found these values:



    sorry, the drawing isn't to scale.


    Using the arcsine function, I found that angle P is 21.801

    and angle q is 16.999

    (in degrees)

    So, in solving for y

    y CSC (16.99) + y CSC (21.801) = 100

    Using algebra I get

    y = 100/( CSC (16.99) + CSC (21.801))


    Which comes out to about 16.2002 for the length of y

    Does that seem right?

    I apologize for how messy and incoherent that probably was.
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