Well, keep in mind, unlike the TDC, where you have to be spot on with your solution unless you fire a good sized spread, the TMA can be a bit imprecise because you are firing homing or wakehoming torpedoes.
Unless you are trying to thread a shot on a specific target in waters where there are a lot of contacts like neutrals or that you'd rather not shoot, your TMA is to establish an area in which the target is most likely, called a "datum".
In modern naval warfare, you typically fired on datums rather than on what you believe is the exact location of the target, and this alters the way in which you use your weapons, firing on a probability area which to some degree accounts for the target's immediate reactions in avoiding the torpedo or torpedoes, since they are usually picked up on sonar at launch.
For example, with wakehoming torpedoes and a large contact running at moderate speed, you only have to place the torpedo behind the target somewhere that it has been in the last 5-15 minutes or so, and the torpedo will find he wake and ride it to the target. With homing torpedoes, they have a reasonably wide search area, and a seeker range of a mile or more, so you only need to have a general idea of where the contact is and will be.
Of course, "general idea" is a relative term when the ocean is hundreds of thousands of square miles.
In modern submarine warfare there is always a balance between good enough and too late, and TMA is a process that exemplifies this. You will get a good feel for how precise a solution you need for each of your weapons and how to employ them most effectively against targets based on your confidence of where they are and where they are likely to be when the business end of your weapon is looking for them several minutes later.
I applaude you for learning TMA.
