It’s Dante's first day of school at South and he is learning to navigate the hallways. Dante is in the East wing and walks a distance of 29.1 meters eastward followed by another eastward walk of 42.1 meters.

Claire deAisles is shopping. She walks 13.1 meters to the end of an aisle. She then makes a right-hand turn and walks 20.1 meters down the end aisle. Determine the magnitude of Claire's resultant displacement.

Zoe waitresses at The Steak House on weekends. She leaves the kitchen with a tray full of meals and walks 53.8 feet west and then 37.6 feet south to a patron's table. What is the magnitude of Zoe's resulting displacement from the kitchen to the table?

Jed is navigating South's hallways on the first day of school. He walks 72.5 meters south from the cafeteria to the Science/Math wing. He turns west and walks another 28.4 meters to the door of his biology class. How far is Jed from the cafeteria?

A student was doing a physics lab and made the following displacements through the hallways. Each leg of the trip was carefully measured. The results of the measurements are as follows:

  A = 3.8 meters

  B = 13.6 meters

  C = 18.8 meters  

  D = 32.3 meters

  E = 3.2 meters 

Sheila is captain of the Varsity cross country team. During the after-school practice on Tuesday, she led the team on the following run from school to a nearby park where they met the coach for a meeting: 

  0.60 miles, north; 

  1.14 miles east; 

  1.50 miles north; 

  0.36 miles, west.