​ Please help

Law of Sines

sin ( A ) / 13  =  sin C / 24

sin ( A) / 13  = sin ( 2A) / 24

sin (A) / 13  = [ 2sin (A) cos (A)] / 24

1/13  = cos ( A  )/ 12

12/13 = cos ( A )

sin (A)  =  sqrt [ 13^2 - 12^2] / 13  =  5/13

sin (C)  =  sin (2A)  =  2sin(A)cos(A)  =  2 (5/13) (12/13)  = 120 / 169

Thanks, CPhill!!!!!!!!!

-Vinculum