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Math Help - Triangles

  1. #1
    Newbie
    Joined
    May 2011
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    14

    Triangles

    A pole 100 feet high stands vertically at the centre of a horizontal equilateral triangle, each side of which subtends an angle of 60 degrees at the top of the pole. Find the side of the triangle.

    I think this problem involves dealing with multiple planes.....Please Help!
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  2. #2
    Member
    Joined
    May 2011
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    Islamabad
    Posts
    94
    considering the vertical triangle

    tan60 = 100 / base
    __
    gives base = 100 / 3

    base form median of triangle so
    __ __
    hight of triangle = 100/ 3 x 3/2 = 150/ 3
    __
    hence sides of triangle = 150/ 3 /sin60 = 300ft
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