ok
I'll use the law of sines to solve it
DB/AB = sin 59/sin 100
Solve for DB
DB = sin 59/sin 100 x AB
DB = 0.857/0.985 x 11
DB = 0.87 x 11
DB = 9.5
Find DC
I'll use the law of cosines to find the answer
DC^2 = DB^2 + BC^2 - 2(DB)(BC)cos 82
DC^2 = 9.5^2 + 6^2 - 2(9.5)(6)cos 82
DC^2 = 90.25 + 36 - 114cos 82
DC^2 = 126.25 - 15.86
DC^2 = 110.38
DC = 10.5
