The bearing of x from y is 135⁰ find bearing of y from x.
bearing of y to x = 315°
Make a sketch to see why by placing yourself at y and then at x
To find the bearing of y from x, you can add or subtract 180 degrees from the given bearing, depending on the quadrant.
Here's how to determine the bearing of y from x:
1. Start with the given bearing of x from y, which is 135 degrees.
2. Determine the quadrant in which the bearing lies. The quadrant can be determined by noting the direction in relation to the North direction.
In this case, 135 degrees falls in the second quadrant, between the West direction (270 degrees) and North-West direction (315 degrees).
3. Add 180 degrees to the given bearing if it is in the second or third quadrant.
Since 135 degrees is in the second quadrant, you would add 180 degrees to it:
135 degrees + 180 degrees = 315 degrees
4. Subtract 180 degrees from the given bearing if it is in the first or fourth quadrant.
However, since we determined that the bearing is in the second quadrant, we don't need to subtract 180 degrees.
Therefore, the bearing of y from x is 315 degrees.
To find the bearing of y from x, we need to find the opposite direction from the bearing of x from y, which is 180 degrees minus the original bearing.
Step 1: Subtract the original bearing from 180 degrees
180° - 135° = 45°
So, the bearing of y from x is 45 degrees.