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Mathematics 10 Online
OpenStudy (anonymous):

In ΔABC, m

OpenStudy (anonymous):

SinB=22 SinC=52 a=30 22/b = 52/30 crossed multiplied and got 660 for SinB for b i got 52b. is 52 b my answer?

OpenStudy (anonymous):

-1 >= sin (theta) >= 1 so.... sin b = 22?

OpenStudy (espex):

I would point out that your problem statement doesn't give you 'c' it only gives you 'a', so you would need to calculate the angle A and then use your law of sines to get 'b'

OpenStudy (anonymous):

12.69 would be my answer after dividing 660/52

OpenStudy (anonymous):

Yes. That's the ticket. Law of Sines. Do you know that one autumnpoteet?

OpenStudy (anonymous):

Slowly getting it haha.

OpenStudy (espex):

180 - (22+52) = A

OpenStudy (espex):

\[\frac{a}{\sin{A}}=\frac{b}{\sin{B}}\]

OpenStudy (anonymous):

it gives me A already. why would i need a when im looking for b?

OpenStudy (anonymous):

\[\frac{ \sin A }{ a } = \frac{ \sin B }{ b } =\frac{ \sin C }{ c}\]

OpenStudy (espex):

No, it gives you side 'a', you need angle 'A'

OpenStudy (anonymous):

so I am completely wrong? i was thinking of my last question hahah sorry.

OpenStudy (anonymous):

For the law I just typed the secret is 1) get a pair of angle and side with the same letter and 2) pick a "fraction" for the other side of the proportion which contains the unknown you want.

OpenStudy (anonymous):

i give up

OpenStudy (anonymous):

A = 106

OpenStudy (anonymous):

Angle A is 106. Now you know Angle A, side a (one fraction) and you know angle B (half of the fraction) (sin B / b). You can set a proportion now. Remember your numbers are sines of the angle measures, not the measures themselves.

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