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Math Help - angle calculation

  1. #1
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    angle calculation

    Hi,

    I have to calculate theta in the picture. anyone help me.

    Thanks.
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  2. #2
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    Quote Originally Posted by kumar View Post
    Hi,

    I have to calculate theta in the picture. anyone help me.

    Thanks.
    (180 - acute angle) degrees.
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  3. #3
    Member Nacho's Avatar
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    Quote Originally Posted by kumar View Post
    Hi,

    I have to calculate theta in the picture. anyone help me.

    Thanks.
    I think that you should say more information abaout the picture, because i don`t know if that fugure is a rectangle o for example, if the line horizontal is middle point... etc
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  4. #4
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    Hi
    Thanks for ur reply. ie. rectangle only and that horizondal line is in mid point only. for explanation only I drawn that lines.
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  5. #5
    Member Nacho's Avatar
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    Quote Originally Posted by kumar View Post
    Hi
    Thanks for ur reply. ie. rectangle only and that horizondal line is in mid point only. for explanation only I drawn that lines.
    ok, as your problem haven`t numbers, theta only can find in function of the other angles, as the picture show, we say that:

    <br />
\begin{gathered}<br />
  \sphericalangle CAB = \alpha  \hfill \\<br />
  \sphericalangle CBA = \beta  \hfill \\<br />
  \sphericalangle CBD = \theta  \hfill \\<br />
   \hfill \\<br />
  \alpha  + \beta  + 90 = 180 \Leftrightarrow \alpha  + \beta  = 90 \hfill \\ <br />
\end{gathered} <br />

    now

    <br />
\beta  + \theta  = 180 \Leftrightarrow \boxed{\theta  = 180 - \beta }<br />

    but remember that

    <br />
\begin{gathered}<br />
  \alpha  + \beta  = 90 \Leftrightarrow \beta  = 90 - \alpha  \hfill \\<br />
   \hfill \\<br />
  \therefore \theta  = 180 - \beta  \Leftrightarrow \theta  = 180 - \left( {90 - \alpha } \right) \hfill \\<br />
  \boxed{\theta  = 90 + \alpha } \hfill \\ <br />
\end{gathered} <br />

    I hope that you understand it

    if you question continue, only post it

    P.D: sorry for my bad english
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  6. #6
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    Thanks Nacho
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