How do I figure out what Z-Angle (pitch) I need to be at in order to face a target?

[jbrauman]

Although this has been pretty well addressed already, I thought I should post as the problem is actually very simple conceptually.

First, forget about the z axis, and work out your horizontal distance from the object using simple pythagoras.

eg. You are are (100,100), your target is at (200,200).

Distance = √( (200-100)^2 + (200-100)^2)
(Horizontal) Distance = √(200)

Now, suppose your z value is 100, and your target's is 200. Vertical distance is (200-100) = 100. Therefore you have a simple right angled triangle.



Using inverse tan you can find the required angle.

So breaking up a 3d problem into 2 2d ones makes it much simpler.
Hopefully this post helped.

Gamer that is fantastic thank you.

Same with everyone else that replied.