Law of Sines?

This is a discussion on Law of Sines? within the A Brief History of Cprogramming.com forums, part of the Community Boards category; A friend of mine made this picture to illustrate the law of sines. http://img27.photobucket.com/albums/...w_of_sines.jpg I kinda see a pattern, but ...

  1. #1
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    Law of Sines?

    A friend of mine made this picture to illustrate the law of sines.
    http://img27.photobucket.com/albums/...w_of_sines.jpg

    I kinda see a pattern, but not completely...and I don't know how this knowledge would be useful.

  2. #2
    5|-|1+|-|34|) ober's Avatar
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    It's not really. Sure, it shows what is going on, but I don't think I'd put that in a tutorial or anything.

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    'AlHamdulillah
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    and I don't know how this knowledge would be useful.
    law of sines can be used to find the length of a side, given you know one other side's length and angle opposite to it, and know the angle of the side opposite to it(you probably gathered this). The uses are numerous, and include triangulation of an object(such as the moon).

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    Registered User linuxdude's Avatar
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    Last edited by linuxdude; 03-24-2004 at 08:53 AM.

  5. #5
    Registered User axon's Avatar
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    what the hell is the point of this thread?? and, yes law of sines and cosines is very useful...how can you not see that?? ahhhhh





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    C++ Developer XSquared's Avatar
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    Here's a sample application:

    You're in engineering, and need to know the height of an object. You're standing 50 meters away from the base of the object, and when you measure from the ground to the top of the object, it is a 48 degree angle (from horizontal). You know that the object makes a 83 degree angle with the ground.

    Hint: Draw a diagram to understand it better. I can't make up one right now.

    Solution:
    Code:
    let d be the distance from you to the object
    let h be the height of the object
    let theta be the angle from the ground to the top
    let alpha be the angle the object makes with the ground
    let gamma be the other angle in the triangle
    
    gamma = 180 - theta - alpha
          = 49
    
    sin gamma / d = sin theta / h
    sin49 / 50    = sin48 / h
    h             = 50sin48 / sin49
    h             = 49.23 (approx)
    Naturally I didn't feel inspired enough to read all the links for you, since I already slaved away for long hours under a blistering sun pressing the search button after typing four whole words! - Quzah

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  7. #7
    C++ Developer XSquared's Avatar
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    Here's a diagram.
    Attached Images Attached Images  
    Naturally I didn't feel inspired enough to read all the links for you, since I already slaved away for long hours under a blistering sun pressing the search button after typing four whole words! - Quzah

    You. Fetch me my copy of the Wall Street Journal. You two, fight to the death - Stewie

  8. #8
    Unregistered Leeman_s's Avatar
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    What's it useful for? It's useful so we can algebraically find values of sides and angles of trianges we wouldn't otherwise be able to find, without measuring ourself.

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