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by ptrask on April 24th, 2007

ptrask

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If I have a right triangle that is 10 feet on the base, and 4 feet high, how many degrees is the angle opposite the base?

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  • by Quirkie on April 25th, 2007

    Quirkie

    I assume the 10 feet refers to one leg of the triangle, being the horizontal base, and the 4 feet refers to a leg of the triangle which is vertical.

    Then the angle opposite the base is the one at the top.
    The SOHCAHTOA rule says that
    Tan of angle = opposite side / adjacent side.
    (where the third, diagonal side, is the "hypotenuse")
    tan of angle = 10 / 4 = 2.5

    angle = "inverse tan" of 2.5
    inv tan also known as arctan or tan^-1 can be found with google:
    Type into the search box on http://www.google.com:
    arctan 2.5 in degrees
    Google tells you the angle is 68.1985905 degrees

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