Three points XXX, YYY, and Z Z\,Z represent towns on a map. The distance from town X X\,X to town Y Y\,Y is 18.2 km, the distance from town Y Y\,Y to town Z Z\,Z is 24.5 km, and the distance from town X X\,X to town Z Z\,Z is 13.6 km.
Work out the size of angle XYZXYZXYZ.
Give your answer to 3 significant figures.