A right triangle with "opposite side" of length 1 and "near side" 4 has angle degrees but that angle is measured to the triangle side across. You correct that the angle the kayak makes with the opposite side is 90- 14= 76 or degrees. But I don't see where you got that "North of East". There is nothing said in the problem, as you posted it, about the direction of the river.
Then the direction would just be
so the angle would be 75.96 degrees North of East
Thanks for any input