In a Triangular Head Spacing calculation, how is row spacing determined?

In a Triangular Head Spacing calculation, the row spacing is determined by multiplying the head spacing by 0.866. This mathematical relationship arises from the geometry of an equilateral triangle, which is the basis for triangular irrigation systems.

In a triangular layout, the heads are spaced at equal distances from each other, forming an equilateral triangle when viewed from above. The distance between rows (row spacing) is less than the head spacing due to the angle formed by the arrangement. Specifically, the row spacing is calculated by taking the vertical height of a triangle with a base equal to the head spacing, which is represented by the formula: height = (base × √3) / 2. When you simplify this, it results in the factor of 0.866 that is used to calculate the row spacing in relation to the head spacing.

This understanding allows irrigation planners and managers to accurately configure their irrigation systems for optimal water distribution and coverage. The other methods presented in the choices do not accurately reflect the geometric relationships inherent in a triangular configuration.