Law of sines question, please help me walk through it!:)

Question

cutiecomittee123 · Answer

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anonymous · Answer

bet it is the same as the last one right?

cutiecomittee123 · Answer

very close

anonymous · Answer

good work on the labeling too

cutiecomittee123 · Answer

so I know that we need to do 1/sin13=b/sin5
then I am confused
is it b=1sin13/sin5 ?

anonymous · Answer

yes

cutiecomittee123 · Answer

okay so b=2.58, but now how do we find c? this doesnt seem isoceles. it seems like a scalene triangle where all sides are different measures and angles too

anonymous · Answer

multiply by the denominator

anonymous · Answer

oh do it the same as the other one only this time use $\sin(C)$

cutiecomittee123 · Answer

so we use a/sinA=c/sinC?

anonymous · Answer

yes it is the same

anonymous · Answer

after all, we can move the letters around, the law of sines is just the law of sines
don't get married to the variables

anonymous · Answer

the length of a side divided by the sine of the opposite angle is equal to the length of any other side divided by the side of its opposite angle 
there is nothing magic about the $a,b,c$

cutiecomittee123 · Answer

okay well I did 
1/sin13=c/sin162 but it gave me .73 and that cannot be right

cutiecomittee123 · Answer

1sin13/sin162^

anonymous · Answer

why it is not right?

cutiecomittee123 · Answer

I guess it is just weird to have a decimal as a side length

anonymous · Answer

oh i see hold on

pinkpiggy · Answer

So sorry about that, we had an issue in the family

anonymous · Answer

it is not that it is a decimal, it is that it is smaller than one

anonymous · Answer

$$\frac{1}{\sin(13)}=\frac{c}{\sin(162)}$$
$$c=\frac{\sin(162)}{\sin(13)}$$ you had it up side down

cutiecomittee123 · Answer

Which means that we have to use the thing where there are two answers dont we?
you know; b1=sin^-1(b/aSinA), b2=180-sin^-1(b/aSinA)

cutiecomittee123 · Answer

ohhh so C goes on the top.

anonymous · Answer

oh no you are finding the length of a side, not an angle

anonymous · Answer

yeah $$\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}$$

cutiecomittee123 · Answer

gotcha, well now I have c=1.37

cutiecomittee123 · Answer

way more accurate

anonymous · Answer

yes

anonymous · Answer

side opposite the largest angle is the largest side etc

cutiecomittee123 · Answer

okay cool

cutiecomittee123 · Answer

lol well I am gonna make another one again, here i go

anonymous · Answer

ooooh kay