Question

Ann walks 80 meters on a straight line 33degrees north of east starting at point 1. Draw Ann's path. Represent Ann's walk with a vector of length 80 meters.

Answer 1

The x-component of Anne's path:
80 x cos(33)
= 67.1 meters
y-component of Anne's path:
80 x sin(33)
= 43.6 meters
To draw he diagram, you draw a horizontal line starting at point 1 to the right representing 67.1 meters. At the end of this line, draw a vertical line upwards representing 43.6 meters.
Connect the start of the horizontal line at point 1 to the end of the vertical line with an angle of 33° between them.