The correct answer is: A. Measuring angle and distance from one transit station.
Theodolite traversing is a method of surveying that uses a theodolite to measure angles and distances between points. This information can then be used to create a map or plan of the area being surveyed.
To locate details that are far away from transit stations, theodolite traversing can be used to measure the angle and distance to the point from one transit station. This information can then be used to calculate the coordinates of the point.
The other options are not suitable for locating details that are far away from transit stations. Option B would require measuring the angles to the point from at least two stations. This would be difficult to do if the point is far away from the transit stations. Option C would require measuring the angle at one station and the distance from another station. This would also be difficult to do if the point is far away from the transit stations. Option D would require measuring the distance from two points on a traverse line. This would not provide enough information to locate a point that is far away from the traverse line.