Final answer:
The problem in question requires the use of trigonometry, specifically trigonometric functions, to solve for the distances and elevation angles of a satellite relative to two ground stations.
Step-by-step explanation:
The question involves calculating the positions and paths of satellites relative to two fixed points on Earth, which introduces the concept of angle of elevation. To solve such a problem, one would typically use trigonometry to determine the distances and angles involved. Trigonometric functions like sine, cosine, and tangent are essential in these calculations as they relate the angles of a triangle to the lengths of its sides.
In this case, the angles of elevation from the two tracking stations to the satellite form two right-angled triangles with the distance between the stations as one side. The use of trigonometric functions can yield the distance of the satellite from each station and, consequently, the altitude of the satellite above Earth's surface.