A hiker takes a trip which consists of two segments. Path A is 43.1 km long heading 56.5 degrees N of East. Path B is 93.6 km long in a direction 20.0 degrees N of W. Resolve each displacement vector into its components; consider using a table like the one below to orgnanize your results. Use - signs for a westward or southward direction. Then sum the columns to determine the resultant's x- and y-components. Finally determine the magnitude and the direction of the resultant.

Mia Ander exits the front door of her home and walks along the path shown in the diagram at the right (not to scale). The walk consists of four legs with the following magnitudes:

  A = 84.7 meters

  B = 274.8 meters

  C = 136.2 meters

  D = 180.0 meters

Kimora and her Mom enjoy exploring caves. On one adventure this past summer, Kimora started at the entrance and moved in the following manner:

First: 48.4 meters north

Second: 249.6 meters east

Third: 111.1 meters at an angle of 27.2 degrees north of east

Fourth: 213.8 meters south

Javar is at the dog park with Roscoe, his Labrador Retriever. Roscoe catches a scent of interest and walks 21.1 meters south, then 21.0 meters at an angle 32.9 degree north of east, and finally 42.0 meters west.