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Math Help - Tangent Function

  1. #1
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    Tangent Function

    Hi, I have one more question from my practice test sheet. I know for this type of problem the tangent function should be used. I'm a little confused how the tangent function works however so if someone could show me how to do this problem that would be great.

    Problem:

    Tom’s lovable cat Fluffy has been out terrorizing mourning doves in the back yard. Now that she is finished, she is heading for the house. When she is 41.6 feet from the house she notices that Mildred, a neighbor who loves birds but hates cats, is headed her way to scold her for her behavior. The angle between Fluffy and the house and the line from Fluffy to Mildred is 22.7◦ degrees. How far from Mildred is Fluffy at this point?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Cazper View Post
    Hi, I have one more question from my practice test sheet. I know for this type of problem the tangent function should be used. I'm a little confused how the tangent function works however so if someone could show me how to do this problem that would be great.

    Problem:

    Tomís lovable cat Fluffy has been out terrorizing mourning doves in the back yard. Now that she is finished, she is heading for the house. When she is 41.6 feet from the house she notices that Mildred, a neighbor who loves birds but hates cats, is headed her way to scold her for her behavior. The angle between Fluffy and the house and the line from Fluffy to Mildred is 22.7◦ degrees. How far from Mildred is Fluffy at this point?
    i may be wrong, but i think we need more info. basically what i se here is that we have a triangle with one side and one angle given. that is not enough, unless i am missing something
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    Here is the drawing that shows the problem.
    Attached Files Attached Files
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Cazper View Post
    Hi, I have one more question from my practice test sheet. I know for this type of problem the tangent function should be used. I'm a little confused how the tangent function works however so if someone could show me how to do this problem that would be great.

    Problem:

    Tomís lovable cat Fluffy has been out terrorizing mourning doves in the back yard. Now that she is finished, she is heading for the house. When she is 41.6 feet from the house she notices that Mildred, a neighbor who loves birds but hates cats, is headed her way to scold her for her behavior. The angle between Fluffy and the house and the line from Fluffy to Mildred is 22.7◦ degrees. How far from Mildred is Fluffy at this point?
    cos(22.7) = 41.6/x

    x = 41.6/cos(22.7) = 45.093 ft

    -Dan
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