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Armor is what prevents every single shot from penetrating your tank in battle.  So, you want to maximize your armor’s effectiveness in any way possible.  The thicker the armor, the better the protection.  But, you can’t just snap your fingers and make your armor considerably thicker.  Because, that would make your tank much, much heavier and slower.  Modern tanks tend to give up armor - in exchange for much better guns and mobility.  So, they have to maximize what little armor they have.  And, that means angling!

  It’s harder to throw a rock through a 1-inch think pane of glass than an eighth-of-an-inch pane, right?  Well, it’s the same with your tank’s armor.  The thicker it is, the harder it is for a shell or explosion to penetrate.  So, how can you make your armor thicker - if you can’t physically make it thicker???

Well, you do that with angling.  

Imagine you’re holding a mirror right out in front of yourself.  Look at your reflection and imagine how far you’d have to penetrate (or drill) through the glass (imagine the glass is solid and doesn’t shatter from either a tiny bullet or a drill-bit).  The distance you just came up with - should be exactly as thick as the pane of glass, seeing as it’s perpendicular to your face.  

Now, angle the mirror so that it’s pointing at something to your immediate right.

Now, try and imagine how far you’d have to penetrate to go straight through the glass (fron your vantage-point)?

It’s considerably farther, right?  Perhaps 50% or more.  Well, it’s 50% harder for a shell to penetrate your tank’s armor when it’s angled away by 45 degrees, just like the mirror.  You’ve made your armor’s effectiveness CONSIDERABLY better - simply by angling your armor (from the vantage point of the tank that’s shooting at you).  You’ve made your armor thicker - without actually making it thicker at all!

But, we can do better than that.  Keep the mirror pointed at the object on your right - then angle it down at the floor.  Now, you’re angled in two different directions, not just the one you were angled at before.  Now, do the drill-depth calculation once more - and you will see that it’s even further than last time!  

So, you want to take stock of where your enemy is shooting you from - and angle your tank towards them.  Don’t point right at them (unless you have a pike-front).  

But, how much are we supposed to angle our armor?  

Unfortunately, there’s a problem we need to address first, before we can come up with an optimal amount of angling…  

Assuming our tank is longer than it is wide, that means that the more we angle towards our opponent - the more surface area we are showing him to shoot at (which means more of his shots will hit), and we are also exposing more and more of our side to him (which is typically much lower armored - which defeats our purpose of increasing the relative thickness of our armor from our enemy’s viewpoint).

Turns out, for maximum effectiveness, we want to angle our armour roughly 30 degrees towards our enemy.

That’s the left-right angle we figured out with our mirror.  But, there’s also the up-down angle.  

Now, we can’t usually change this.  You can’t really change this - without getting out and putting your back tires on blocks, so to speak.  

But, if you have the choice between flat ground, and ground which lets your armor angle towards your enemy in the up-down way, do it a little.  Although, be wary of exposing your lower front plate (or your weak top-armor) to your enemy.

In conclusion…

In most occasions, you want to angle your tank roughly 30 degrees toward the direction you expect fire to be coming from - with the front of your tank angled a tiny bit up (which is preferable to down, as if you’re kneeling forward, it exposes the entire roof of your tank to your enemy, whereas, if you’re kneeling back, only the top edge is visible).

If you make your armor appear to be as thick as possible to your enemy - you’ll bounce the most shots you possibly can (although, you’ll still get three-times-over-matched on occasion).