The correct answer is A) 022.5°. A vessel heading NNE (North-Northeast) is on a course of 022.5°. This is because the 22.5° increment between the cardinal directions (N, NE, E, SE, S, SW, W, NW) is the standard way to express compass headings in navigation. A heading of NNE falls exactly between the cardinal directions of North (000°) and Northeast (045°), so the correct course is 022.5°. The other options are incorrect because B) 045.0° would be Northeast, C) 067.5° would be ENE (East-Northeast), and D) 090.0° would be East, none of which accurately describe a heading of NNE.