Final answer:
The best locations for placing signal repeaters to establish radio contact between two isolated mountain towns would be at elevated positions that ensure an unobstructed line of sight for the radio waves between the towns, typically at location A and D if they offer the required clear paths.
Step-by-step explanation:
The question involves determining the best locations to place radio signal repeaters between two isolated mountain towns to establish radio contact. For satisfactory radio communication, it is essential to have an unobstructed line of sight between the transmitter and receiver, as obstructions such as mountains can significantly weaken radio waves. Furthermore, placing antennas at higher elevations can enhance the broadcast area's line of sight. Given these principles, the ideal points for placing repeaters would be at elevated positions that afford a clear line of sight between the two towns.
While the question does not provide specific locations labeled A, B, C, or D, one can infer general placement strategies based on the available information. If location A is at a higher point midway between the two towns and location D is another elevated position that clears any potential obstacles, placing repeaters at both locations A and D would be the best strategy to ensure that there is a direct line of sight for the radio waves to travel, thus establishing strong radio contact without interference from the mountains.