Which of the following methods can be utilized to measure the speed...

Foucault's method uses a rotating mirror and a fixed concave mirror separated by a relatively small distance of a few meters. This compact setup allows the experiment to be performed inside a laboratory.

Fizeau's method requires a large distance of several kilometers between the source and the mirror.

Michelson's method uses a rotating octagonal mirror and requires a very large distance of tens of kilometers.

Roemer's method is an astronomical method based on the observation of the eclipses of Jupiter's moons.