What is the total of 32.2 KM W35degrees North and 24.6 km W72degrees south

Answer 1

To add 2 vectors, first determine the linear components. The typical example uses an X-Y coordinate system, but here we will use the compass.

First, translate the typical compass notation:

W 35 deg N means that the vector is 35 degrees North of one pointing due West. (Read it as "35 degrees north of a line going due west")

Similarly, W 72 deg S means 72 degrees south of the vector pointing due West.

Draw a picture (approximately to scale) so that you can visualize the 2 vectors ans their West and North/South. The picture also allows you to see the approximate value of the sum.

Next, get the components:

#1: The WEST component is 32.2 * cos (35)

The NORTH component is 32.3* sin (35)

#2: Use a similar method, but note that the NORTH component is the negative of the SOUTH component

Answer 2