A survey team is preparing a map of a coastal reserve. In one triangulation, stations $A$ and $B$ are $138\text{ m}$ apart. The measured angles in triangle $ABP$ are $\angle BAP=52^\circ$ and $\angle ABP=67^\circ$

A second mapped zone is represented by triangle $XYZ$ where $XY=84\text{ m}$ $XZ=117\text{ m}$ and $\angle YXZ=42^\circ$