This is an analogy question. An odometer is a device that measures the distance traveled by a vehicle, which is directly related to the measure of mileage. Similarly, a compass is a device used for navigation, specifically to determine direction.
Hence, the correct analogy is:
Odometer : Mileage as Compass : Direction.
The other options, "Hiking," "Needle," and "Road," are not relevant to the function of a compass. The compass’s primary function is to point to directions, just as the odometer measures mileage.