Answer:
16
Step-by-step explanation:
Referring to the diagram, we can use Pythagoras' Theorem to find ZY. (which is the distance from Point Y to WX)
By Pythagoras' Theorem,
[tex]c^{2} =a^{2} +b^{2} \\WY^{2} =WZ^{2} +ZY^{2} \\(16\sqrt{2}) ^{2} =16^{2} +ZY^{2} \\ZY^{2} = (16\sqrt{2}) ^{2} -16^{2} \\ZY^{2} =512-256\\ZY^{2} =256\\ZY=\sqrt{256} \\ZY=16[/tex]
