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Math Help - Sine Law problem

  1. #1
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    Exclamation Sine Law problem

    Just wanted someone to check my answers for this:

    Two buildings of equal height are 300 meters apart. An observer on the street between the buildings measures the angles of elevation to the tops of the buildings as α = 30 degrees and β = 45 degrees, respectively.

    a) Draw a labeled diagram depicting the above information.

    b) How high are the buildings

    b I got sin 30/300 = sin 45/b = 1/2/300 = sqrt(2)/2 which is 1/300sqrt(2)? anyone confirm?
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  2. #2
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    I think your diagram is incorrect.
    I have attached what i believe is the correct diagram.
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  3. #3
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    Yep, it was wrong, so then

    the bottom we can call, y and x.

    so ytan45 = xtan30
    y+x = 300

    tan45 = 1, tan 30 = sqrt(3)/3

    y = xsqrt(3)/3??

    where do I go from here
    Last edited by goliath; April 13th 2010 at 10:05 PM.
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