To solve this problem, we can use the tangent.
The tangent of an angle is equal to the opposite side length divided by the adjacent side length.
We have the lengths of both legs.
[tex]\tan(x)= \dfrac{5}{14}[/tex]
Take inverse of the tangent on both sides (or arc tangent)
[tex]x=tan^{-1} (\dfrac{5}{14})[/tex]
[tex]\approx 19.7[/tex]
Thus, x is 19.7 degrees. Since this hypotenuse is between north and west, the second choice is your answer. Hope this helps! :)