Answer: A
In the conformation with H on C-2 anti-periplanar to Br on C-1, the two phenyl groups lie 60 degrees apart in the Newman projection, so after elimination they are cis. A three-dimensional model of the (1S,2S) isomer confirms this, giving the Z alkene, and the (1S,2R) diastereomer would give the E alkene instead. Anti elimination is stereospecific, so one isomer is formed.