Joshua used two wood beams, PC and QA, to support the roof of a model house. The beams intersect each other to form two similar triangles QRP and ARC. The length of segment PR is 3.4 inches, and the length of segment CR is 5.1 inches. The distance between A and C is 4.2 inches.
What is the distance between the endpoints of the beams P and Q?
2.02 inches
2.8 inches
2.5 inches
3.4 inches