Question

A ship's course is set at a heading of 192°, with a speed of 30 knots. A current is flowing from a bearing of 112°, at 14 knots. Use Cartesian vectors to determine the resultant velocity of the ship.

Answer 1

What you need to do here is a vector addition of the ship's velocity with respect to the water (V1), plus the velocity of the water with respect to land (V2). 
Also remember that:
i = unit vector east 
j = unit vector north 

V1 = 30 sin 192 i + 30 cos 192 j 
V2 = 14 sin 112 i + 14 cos 112 j. 
The formula will look like this
V1 + V2 = ?
Now please use the data to put the values into correct places and there you go! Hope this helps