Answer:
22.54 units
Step-by-step explanation:
Consider angles:
A = 13°, B = 12°, C = 180° - 13° - 12° = 155°
By Law of sines
a/SinA = b/SinB = c/SinC
in this case we are given a = 12, A = 13° and we found earlier that C = 155°
Hence
a/SinA = c/SinC
12/sin13° = c/sin155°
c = 12 (sin155° / sin13°)
c = 12 (1.8787)
c = 22.54 units
