To convert angles into surveyor’s bearings, the angles are expressed with reference to the cardinal directions (North and South, and East and West). Here’s how each of the given bearings would be expressed in the surveyor form:
- 015°: N 15° E
- 097°: N 97° E
- 230°: S 50° W
- 112°: S 68° E
Here’s a breakdown of the conversions:
-
For bearings less than 180° (0° to 180°): If the angle is between 0° and 90°, it's in the northeast quadrant (N x° E). If it's between 90° and 180°, it’s in the southeast quadrant (S y° E, where y = 180° - the angle).
-
For bearings greater than 180° (180° to 360°): If the angle is between 180° and 270°, it’s in the southwest quadrant (S x° W). If it's between 270° and 360°, it’s in the northwest quadrant (N y° W, where y = angle - 270°).