Step 1: The illustrated stepwise repositioning of the patient's head and trunk corresponds to the Epley (canalith repositioning) manoeuvre.
Step 2: BPPV results from free-floating otoconia within a semicircular canal; gravity-driven movement of these particles triggers brief rotatory vertigo on positional change.
Step 3: By rolling the otoconia through successive canal segments and out into the utricle, the Epley technique resolves symptoms, typically targeting the posterior canal.
Step 4: Although Semont, Brandt-Daroff and Foster manoeuvres also treat BPPV, the head-turn progression shown is specific to Epley.
\[\boxed{\text{Epley}}\]