HI PDoolittle,
I can't understand your problem. Can you explain it in more detail. It is also logical that distant noises can only be rudimentarily located.
Here is an example of plotting an intercept course based on a radio message. The same works with a bearing. Of course, if you want to use the bearing for an intercept course, you must first determine the course, distance and speed based on bearing.
We receive a radio message at 4:53 a.m. Convoy position AM 489, course 264, 7 knots.
We calculate an intercept course based on this message and the position of the boat.
Necessary parameters from the boat are speed, AOB and current distance to the convoy.
Calculated intercept course is 309 deg., distance 757 km, duration 1 day, 7 h 27 min.
At this position we should intercept the convoy.
We arrive a little earlier, because the boat was travelling a little faster in parts. But better too early than too late. We wait for the convoy ...
The convoy is exactly at the position at the calculated time.
Cheers Ruby