In order for the tower to have an equal distance from each center, the company must find which point is equidistant from the vertices of the triangle. This will be the circumcenter of the triangle. This can be found through constructing the point of concurrency of the perpendicular bisectors the triangle has.
Step-by-step explanation:
This is pretty much the sample response but I rephrased it. :D
If the 3 towns each have a highway connecting the center of each town then you place it in the middle of the triangle. Which would be equadistant from each of the centers of the town.
Using process of elimination we know that it cannot be a,b or c because after you add the 2 new stamps james collected the ratio is 8:12 which cannot be 1:2 because 8 is not half, can't be B because 8 is less than 12, Also cannot be C because 8 is less than 12