a sailing boat is travelling at a constant speed of 4 km hr^-1 in a direction 35 degrees north of east. a motorboat wishes to intercept the sailing boat is travelling at a speed of 10 km hr^-1. at a certain point the motorboat is 2km northwest of the sailing boat. in what direction should the motor boat head in order to intercept the sailing boat

what ive got so far: velocity of sailing boat=3.27i+2.3j velocity of motor boat=(10cosx)i+(10sinx)j if i get there relative velocity the j components should cancel out so 2.3=10sinx x=13.297 degrees sadly this is not the right answer. the right answer is 21.8 degrees south of east.