Three players on a reality TV show are brought to the center of a
large, flat field. Each is given a meter stick, a compass, a calculator, a shovel, and (in a different order for each contestant) the following three displacements:
72.4 m, 32.0? east of north
57.3 m, 36.0? south of west
17.8 m due south
The three displacements lead to the point in the field where the
keys to a new Porsche are buried. Two players start measuring
immediately, but the winner first calculates where to go. What
does she calculate?