Find the length of line segment BC .

To find the length of line segment BC, we need to use the distance formula, which is given by:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Given the coordinates of points B and C, which are B(4, 0) and C(4, 6) respectively, we can calculate the length of line segment BC as follows:

Distance = sqrt((4 - 4)^2 + (6 - 0)^2)
Distance = sqrt(0 + 36)
Distance = sqrt(36)
Distance = 6

Therefore, the length of line segment BC is 6 units.