Quote:
Originally posted by Deejax:
quote:
Originally posted by Faceman:
No I'm not. If you read my post carefully: all five triangles are seperated by the distance 5 which is what you and the train cover while loading in the passengers
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Ooops, you're absolutely right, sorry. [img]graemlins/blush.gif[/img]
Quote:
AB/sinASB = AS/sinABS => 2.5*AS/sinASB = AS/sinABS => sinABS/2.5 = sinASB
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This I don't follow. Maybe my trigonometry is a bit rusty, but your first line is totally unclear to me.
AB/sinASB = AS/sinABS is the same as AB/AS = SinASB/SinABS
i.e. the ratio of two sides of a triangle is equal to the ratio of the sinuses of its opposite angles. That can't be right. Please explain, i'm lost. [/QUOTE]It IS right and a basic trigonometric formula. I don't know the Englisch term but in German it's the "Sinussatz" opposed to the
"Cosinussatz" : c² = a² + b² + 2a*b*cosACB
which is the global sentence of the commonly known Pythagoras (if you put ACB = 90 you get it)
EDIT: Okay I searched a bit and found the English expressions: "law of sines" and "law of cosines" and also a page with the proof
http://mcraefamily.com/MathHelp/Geom...SinesProof.htm
this is the first page I found by luck so you may want to search further for better ones.