To calculate the aob from the map its easy. Just draw the target couse then check the angle from its course to you. This is your AOB. But if you wish to be accurate from a visual only perspective. You have to use the ticks on the periscope. But thats more complex since you need to calculate the aspect ratio. But if you play with the map updates on, after taking the speed with the 1:37 method. Simply draw a line using those mark and you will have the cource.
You can hardly be more accurate than when using the map. especially with AOB.
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