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.
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.
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.
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).and I don't know how this knowledge would be useful.
the theorem stateshttp://hyperphysics.phy-astr.gsu.edu...mages/lsin.gif
Last edited by linuxdude; 03-24-2004 at 08:53 AM.
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
some entropy with that sink? entropysink.com
there are two cardinal sins from which all others spring: Impatience and Laziness. - franz kafka
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
You. Fetch me my copy of the Wall Street Journal. You two, fight to the death - Stewie
Here's a diagram.
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
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.