Can you use the Law of Sines if you are given a = 31, b = 52 and the measure of angle B equals 56 degrees?

Question

anonymous · Answer

Care to draw a picture to ensure I know how you are defining your sides and angles?

anonymous · Answer

I'm pretty sure you can because a side, an opposite side and an angle are provided.

hartnn · Answer

see the law of sines
$\Large \dfrac{a}{\sin A}=\dfrac{b}{\sin B}$
you can use this law, if you know 3 terms out of the 4
so do you know 3 terms ?

anonymous · Answer

I believe so..?

hartnn · Answer

which 3 terms? and find the 4th term
just keep plugging in values in that

anonymous · Answer

a/sinA=b/sinB=c/sinC?

anonymous · Answer

4th term?

hartnn · Answer

in this!
$\Large \dfrac{a}{\sin A}=\dfrac{b}{\sin B}$

a,b,sin A, sin B are 4 terms...

anonymous · Answer

OH okay! So I'm not provided 4 terms?

hartnn · Answer

but you know 3 of them, so that u can find the 4th!

anonymous · Answer

THAT'S what I meant! Thank you again! c:

hartnn · Answer

so what did u get A as ?

anonymous · Answer

.49?

hartnn · Answer

you mean sin A = 0.49??
 thats correct :)

hartnn · Answer

find A from there 
A = arcsin 0.49

anonymous · Answer

Right I keep for getting arcsin.

anonymous · Answer

29.34!

hartnn · Answer

correct!: )

anonymous · Answer

Thank you! I have one more problem then I'll be out of your hair! (For now..)