Coordinates, Inverses & State Plane

Worked: inverse between two control points

A: N 5,000.00, E 3,000.00. B: N 5,412.30, E 2,756.10. ΔN = +412.30, ΔE = −243.90. L = √(412.30² + 243.90²) = 479.04 ft. arctan(243.90/412.30) = 30°36′, and north with west puts it in the NW quadrant: N 30°36′ W, azimuth 329°24′.

The site is at 1,200 ft with a grid scale factor of 0.99996. Elevation factor = 20,906,000/20,907,200 = 0.999943; combined factor 0.999903. The grid distance is 479.04 × 0.999903 = 478.99 ft.