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Mathematics 12 Online
OpenStudy (anonymous):

Law of sines help

OpenStudy (anonymous):

hard to know without a question

OpenStudy (anonymous):

Find the number of distinct triangles with c=3,b=5 and B=85

OpenStudy (anonymous):

got a picture?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Im sure it looks like this|dw:1400290743724:dw|

OpenStudy (anonymous):

|dw:1400290760456:dw|

OpenStudy (anonymous):

or yours, either way

OpenStudy (anonymous):

want to work with mine or yours?

OpenStudy (anonymous):

mine

OpenStudy (anonymous):

ok, but your 85 degree angle looks more like a 45 degree angle, so it might be a bit misleading 85 degrees is just shy of a right angle

OpenStudy (anonymous):

first lets see if there is even one triangle

OpenStudy (anonymous):

\[\frac{\sin(85)}{5}=\frac{\sin(C)}{3}\] so \[\sin(C)=\frac{3\sin(85)}{5}\]

OpenStudy (anonymous):

this makes \[C=\arcsin(\frac{3\sin(85)}{5}\] looks like about \(36.71\) http://www.wolframalpha.com/input/?i=arcsin%28+3sin%2885%29%2F5%29

OpenStudy (anonymous):

|dw:1400291304759:dw|

OpenStudy (anonymous):

so it doesnt

OpenStudy (anonymous):

i don't see how we can get another one out of this, do you?

OpenStudy (anonymous):

no i dont

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