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Math Help - Using Tangent: World Problem

  1. #1
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    Post Using Tangent: World Problem

    Another problem I have is about a rectangles and adjacent sides. The answer is 53.01degrees and 36.99degrees. Here is the problem:


    Two adjacent sides of a rectangle are 14.8cm and 11.9 cm. Find the angles which a diagonal of the rectangle makes with the sides.

    Thank You For the Help!
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  2. #2
    Super Member malaygoel's Avatar
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    Let the angle between the diagonal and the shorter side be x.

    Then,
    tan(x)=14.8/11.9


    The other angle will be 90-x degrees.
    Last edited by malaygoel; June 18th 2009 at 10:02 PM.
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  3. #3
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    Quote Originally Posted by flutterby View Post
    Another problem I have is about a rectangles and adjacent sides. The answer is 53.01degrees and 36.99degrees. Here is the problem:





    Two adjacent sides of a rectangle are 14.8cm and 11.9 cm. Find the angles which a diagonal of the rectangle makes with the sides.

    Thank You For the Help!
    According to my slide rule:

    14.8/11.9 = 1.243697
    &
    Tan(51.198837degrees) = 1.243697465

    If I were guessing, my guess is that the sides of the rectangle are 15.8 & 11.9

    11.9/15.8 = 0.7532
    arctan(0.7532) = 36.987 degrees
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  4. #4
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    Can anyone please show me a diagram or explain how the diagram would look like? Thank you
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  5. #5
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    Quote Originally Posted by flutterby View Post
    Can anyone please show me a diagram or explain how the diagram would look like?
    rectangle ... with diagonal
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  6. #6
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    Quote Originally Posted by malaygoel View Post

    The other angle will be 90-x = 36.99 degrees
    can you please explain me this part!? why do I use 90 and how do I know I take this step! Thank You!
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  7. #7
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by flutterby View Post
    can you please explain me this part!? why do I use 90 and how do I know I take this step! Thank You!

    Every right triangle has a 90 degree angle in it. The angles in any triangle add up to be 180 degrees. Therefore, in a right triangle with angles a,b, and c, where c is the right angle (90degrees), we have a+b+90=180. If we subract 90 from both sides we have a+b=90. if we had one of these angles (a or b) we could solve for the other one.

    90=a+b

    Subtract

    90-a=b.
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  8. #8
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by flutterby View Post
    Another problem I have is about a rectangles and adjacent sides. The answer is 53.01degrees and 36.99degrees. Here is the problem:




    Two adjacent sides of a rectangle are 14.8cm and 11.9 cm. Find the angles which a diagonal of the rectangle makes with the sides.

    Thank You For the Help!
    This should help. I forgot to put angle1 inside the parantheses. It should say tan(angle 1)=o/a. Dont forget that o=opposite side of the angle, and a=adjacent side of the angle.
    Last edited by VonNemo19; September 19th 2009 at 10:49 PM.
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  9. #9
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    Thank You I get it now, the only problem is that my calculator won't come up with the answer of 53.01. I plug in 14.8/11.9 and I get 1.2435... and then I find the inverse of tangent which gives me 51.19.
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  10. #10
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by flutterby View Post
    Thank You I get it now, the only problem is that my calculator won't come up with the answer of 53.01. I plug in 14.8/11.9 and I get 1.2435... and then I find the inverse of tangent which gives me 51.19.

    Your answer is undoubtedly correct.

    1) Did you write the problem down correctlty?

    2)Does your book have mistakes in it often?

    3)Did you copy the answer dow correctly?

    If you answer yes to 1 and 3, it is the answer you were given that is wrong.
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  11. #11
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    yup you were right I rechecked =D, it was 15.8 and everything checks up now! Thank you
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