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Math Help - Thought I did this right but apparently got it wrong

  1. #1
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    Thought I did this right but apparently got it wrong

    Thought I did this right but apparently got it wrong-rhombus.jpg
    Two strips of cloth with width 1 overlap at an angle a as shown. Find the area of the overlap.

    I swear I am missing something on this.

    Rhombus Area is base x height
    Height is 1
    Let base = x

    unknown angle a

    So all I could come up with was:

    x = 1/sine (a)

    Which gave me the Area = A

    A = 1 * (1/Sine (a))

    I don't recall ever figuring out an area with so little information given before.
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  2. #2
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    Re: Thought I did this right but apparently got it wrong

    I agree with your solution.
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  3. #3
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    Thumbs up Re: Thought I did this right but apparently got it wrong

    Hello, brokaliv!

    If you submitted the answer A = 1 * (1/Sine (a)) to an online exam,
    . . it probably did not recognize the expression.

    . . First of all, sine would be entered/written \sin.

    . . Second, \frac{1}{\sin a} is equal to \csc a.

    . . Third, we never EVER submit an answer like x \,=\,1\cdot3 .**


    If you submitted that answer to a human teacher/professor,
    . . he/she would deduct points for the very same reasons.


    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

    **

    Consider this insulting example . . .

    . . \begin{array}{cccccc}\text{Solve for }x\!: & 2x + 3 &=& 9 \\ \\[-3mm] \text{Subtract 3:} & 2x &=& 9 - 3 \\ \\[-4mm] \text{Divide by 2:} & x &=& \dfrac{9-3}{2} \end{array}

    Would you submit x \,=\,\frac{9-3}{2}\;?


    You are saying, "Hey, I did all the algebra!"
    . . followed by, "Oh, did you want me to simplify, too?"
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