IKMC 2027 - Grades 11-12 - Self-study SET 10 - Thematic Batch 3 Question 12

Plane mirrors OP and OQ meet at an acute angle. A light ray XY parallel to QO strikes OP at Y, reflects to OQ, then back to OP, and finally travels perpendicular to OQ to R, as shown. If OR=5 cm, what is the distance from XY to OQ?