Q: What is the height of this pyramid? 
Let $W$ be the point in the base $(XYZ)$ of the pyramid such that $VW$ and $WZ$ are perpendicular.
$XYZ$ is a right triangle and $XZ$ is perpendicular to $YZ$.
What is the height of the pyramid? My book says it is $VZ$, but I think it is $VW$.
Context: The problem is actually to find the volume of the pyramid given $YZ$, $XY$ and $VZ$. I got it, but I was wondering why the book called $VZ$ the "height" of the pyramid.

A: The only case, when VZ can be height of this pyramid is, when W = Z.
In this case, we will get 3 right triangles (VXZ, VYZ, XYZ).
At the given problem, height of this pyramid is clearly VW (and W does not collide with Z).
