Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

C = 67, a = 21, c = 20

Question

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. 

C = 67, a = 21, c = 20

sleepyjess · Answer

@satellite73

anonymous · Answer

|dw:1421617850637:dw|

anonymous · Answer

man that is one ugly picture, but i hope you get the idea

sleepyjess · Answer

Yep, I get it

anonymous · Answer

using the law of sines you get 
$$\frac{\sin(67)}{20}=\frac{\sin(A)}{21}$$

anonymous · Answer

when you take the arcsine you will get the acute A

sleepyjess · Answer

What would I take arcsin of? That is what is giving me trouble. :/

anonymous · Answer

you  want angle A

anonymous · Answer

$$\sin(A)=\frac{21\sin(37)}{20}$$ so that is what you need to find the arcsine of to find A

anonymous · Answer

but the arcsine obviously gives you only one answer 
the acute one