You find a pirate map which describes the path to a buried treasure. Starting from an old oak tree in a field, the map instructs you to walk 16.0 meters due west, then turn in the direction 25 degrees north of west and walk an additional 21.0 meters. Finally, you need to walk 7.50 meters due south to where the treasure is buried.
(a) Draw two vector diagrams, one with the old oak tree as the origin that illustrates the vector sum of all three displacements in the instructions and the second with all three vectors drawn from the origin.
(b) How far away from the base of the oak tree and in what direction is the treasure buried?