Final answer:
To calculate the speed of light in this scenario, we need to compare the distance traveled by light and the distance traveled by the mirror in a given time period.
Step-by-step explanation:
To determine the speed of light, we need to use the given information about the distance traveled by light and the time taken by the mirror to complete one-eighth of a revolution.
The distance traveled by light is 71.0 km for a round trip, which means it travels a distance of 35.5 km in one direction.
Since the mirror takes one-eighth of a revolution, it means the mirror travels a distance equal to one-eighth of its circumference. Hence, the distance traveled by the mirror is (1/8) * 2π * r, where r is the radius of the mirror.
By equating the distance traveled by light and the distance traveled by the mirror, we can calculate the speed of light.
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