Answer: C
The compound is (2R,3R)-2-bromo-3-phenylbutane. In the conformer with H and Br anti-periplanar the two methyl groups end up on the same side, so the phenyl group and the C-2 methyl group are trans after elimination. This is the (E)-2-phenylbut-2-ene. E2 is stereospecific, so the (2R,3S) diastereomer would give the Z alkene.