I'm really hoping for some exceptional diagrams now
This is a crap one, as the geostat's are 6 times as far from the earth as the distance of the earth's radius, and the maximum variation in height above this radius is less than 1/1000 of that radius, knowing height although useful isn't necessary.
They already gave us this diagram, with one line on it, as they had only one satellite data to go on.
The point was raised if they had a second, then things would be rosy, as the lines would intersect, indeed they would, it would give 2 places, one north and one south to search.
Someone suggested you need to know height, and yes, it would be helpful, but the search area would be narrow.
The lines have a finite width, this is the search areas, the finite width is governed by the potential variation in the planes altitude, and the sensitivity of the equipment measuring.
They are not thousands of KMs wide.
Most the proposed intersection made by a second satellites beam can be discounted as it occurs either in space, or below the surface of the Earth.