Three points are drawn on a square grid below. Eve is standing within the grid. She stands at a location north-west of X and north of Y. In what direction is Z from Eve?

1. Determine the coordinates of X, Y, and Z on the grid

Let the bottom-left corner of the grid be $(0,0)$.
$Z$ is in the 1st column, 3rd row from bottom: $Z = (1, 3)$.
$Y$ is in the 3rd column, 4th row from bottom: $Y = (3, 4)$.
$X$ is in the 5th column, 3rd row from bottom: $X = (5, 3)$.

2. Find Eve's location based on the given directions

Eve is north of $Y$, so her x-coordinate is the same as $Y$'s: $x_E = 3$.
Eve is north-west of $X$. North-west means moving left and up equally. From $X(5,3)$, moving left 2 units and up 2 units gives $(5-2, 3+2) = (3, 5)$.
Since $x_E = 3$, Eve's location is $E = (3, 5)$.

3. Determine the direction of Z from Eve

Eve is at $E(3, 5)$ and $Z$ is at $(1, 3)$.
To go from $E$ to $Z$, we move left 2 units (West) and down 2 units (South).
Since the horizontal and vertical movements are equal, the direction is exactly South-west.