The bearing is 45° south of west.
How to find the bearing between two points?
Let's assume that:
- The point T is the point (0km, 0km).
- East is the positive x-axis
- North is the positive y-axis.
Then, if the man moves 12 km due west and then 12 km due south, the new position is:
( 0km - 12km, 0km - 12km) = (-12 km, -12km)
This lies just in the middle of the third quadrant, so we have 90° per quadrant plus half of that:
90° + 90° + 45° = 225°
This is the angle measured from the positive x-axis, which is the east.
If we consider the negative x-axis, which is the west, the angle would be:
θ = 45°
This means that the bearing is 45° south of west.
If you want to learn more about bearings, you can read:
https://brainly.com/question/17972372
