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

Answer 1

@satellite73

Answer 2

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

Answer 3

Yep, I get it

Answer 4

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

Answer 5

when you take the arcsine you will get the acute A

Answer 6

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

Answer 7

you want angle A

Answer 8

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

Answer 9

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