Final answer:
The location of the sixth wind turbine should be at the intersection of the bisector of angle BCD and one of the perpendicular bisectors of the sides within the wind farm layout, keeping the separation criteria of 15 rotor diameters in wind direction and 8 rotor diameters cross-wind.
Step-by-step explanation:
The question pertains to the optimal placement of a sixth wind turbine based on given geometric constraints. According to the information, turbine installation should account for certain separations between turbines to maintain efficiency and safety. Specifically, it recommends separations of 15 rotor diameters along the wind direction and 8 rotor diameters in the cross-wind direction.
To determine a possible location for the sixth turbine, we need to consider the intersection of the bisector of angle BCD and the perpendicular bisectors of relevant sides within a polygon configuration that defines the wind farm layout. Assuming we have a polygon (it could be a triangle, rectangle, etc.), we must identify the angle BCD and construct its bisector. This bisector would be a line that divides the angle into two equal smaller angles.
Simultaneously, we would consider each side of the polygon and construct the perpendicular bisectors. These are lines that are perpendicular to the midpoint of the sides they bisect. The perpendicular bisectors of the sides would likely intersect at the circumference, which is equidistant from the vertices of the polygon.
The optimal location for the sixth wind turbine would be approximately where the angle bisector and one of the perpendicular bisectors intersect.
In practice, the exact point would need to satisfy the separation criteria outlined in the earlier descriptions: 15 rotor diameters apart along the prevailing wind direction and 8 rotor diameters in the cross-wind direction. Hence, the position of the sixth turbine should align with these guidelines for minimal disturbance and maximal energy efficiency.