COGO Forward Locate (Bearing and Distance)
The single COGO step traverse-closure only ever sums over a loop.
Example
You enter
- Start northing N (ft) 5000
- Start easting E (ft) 5000
- Azimuth (deg, clockwise from north) 45
- Distance (ft) 200
You get
- Latitude (delta N) 141.421 ft
- Departure (delta E) 141.421 ft
- End northing N 5141.42 ft
- End easting E 5141.42 ft
Details, formula, and sources
From a known point, an azimuth (clockwise from north), and a distance, the new coordinates. Latitude dN = D cos(Az), departure dE = D sin(Az); N2 = N1 + dN, E2 = E1 + dE. From N5000/E5000 at azimuth 45 deg over 200 ft the point lands N5141.42/E5141.42. Convert a quadrant bearing (N45E) to azimuth first. Plane geometry - no curvature or grid scale factor; the project control and datum govern.
latitude (delta N) = D cos(Az); departure (delta E) = D sin(Az); N2 = N1 + delta N; E2 = E1 + delta E. Az is the azimuth clockwise from north.
First-principles coordinate geometry (latitude / departure) as compiled in the standard route-surveying references (Ghilani & Wolf, Elementary Surveying; FM 5-233), by name.
The latitude/departure forward-locate relation is a public surveying result.
Estimate. AHJ and licensed professional govern.
Field names used by the API: start_n, start_e, azimuth_deg, distance_ft, delta_n, delta_e, end_n, end_e
- Azimuth basis azimuth measured clockwise from north (0-360 deg)surveying convention
- Plane geometry flat-earth latitude/departure; no curvature or grid scale factor appliedplane-survey assumption
- Sign convention delta N positive north, delta E positive eastsurveying references