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Math Help - Work out the Angle of Alpha??

  1. #1
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    Work out the Angle of Alpha??

    Can someone help me find out this question!!
    Theres a right angled triangle and all i know is 36 is my hypotineuze and a 6x6 Box fits inside it. The top angle is alpha.
    Can u explain it aswell!! Thx.
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  2. #2
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    Does this mean either the opposite or adjacent sides are 6?
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  3. #3
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    Hello, Pieboyrules!

    There's a right triangle and the hypotenuse is 36.
    And a 6x6 box fits inside it. The top angle is alpha.
    Can u explain it as well?

    I'm guessing that the diagram looks like this . . .

    Code:
          *
          |α *
          |     *
          *--------*  36
          |    6   |  *
          |        |     *
         6|        |6       *
          |    6   |           *
          *--------*--------------*

    Now what is the question?

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  4. #4
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    Soroban, the question is what is the angle of alpha?? But i would like the workings as well so that i can understand it!!
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  5. #5
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    Quote Originally Posted by Pieboyrules View Post
    Soroban, the question is what is the angle of alpha?? But i would like the workings as well so that i can understand it!!
    1. Draw a sketch

    2. You are dealing with a right triangle:

    (y+6)^2+(x+6)^2=36^2

    3. You have two similar triangles. Use proportion:

    \dfrac x6 = \dfrac6y

    4. Solve for x or y.

    5. Use the tan-function to determine the value of the angle \alpha
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