B
6 8
A C 30
Law of Sines
AB / sin (30) = BC / sin (BAC)
6 / (1/2) = 8 / sin (BAC)
12 = 8 /sin (BAC)
sin (BAC) = 8/12 = 2/3
arcsin (2/3) = BAC = 41.81°
ABC = 180 - 30 - 41.81 = 108.19°
sin ABC = .95
[ABC ] = (1/2) AB * AC * sin (ABC) = (1/2) (6)(8) (.95) ≈ 22.8
+1234 
