The correct answer is: C. quicker and less tedious for large number of intermediate sights
The height of instrument method is a method of levelling in which the height of the instrument is determined at each station and the difference in elevation between two points is calculated by subtracting the height of the instrument at the first point from the height of the instrument at the second point.
The rise and fall method is a method of levelling in which the difference in elevation between two points is calculated by measuring the rise and fall of the levelling staff between the two points.
The height of instrument method is quicker and less tedious for large number of intermediate sights because it does not require the levelling staff to be set up at each intermediate sight.
The rise and fall method is more accurate than the height of instrument method because it takes into account the curvature of the Earth.
However, the height of instrument method is more commonly used because it is quicker and less tedious.