The correct answer is B) nearly stern to stern, at a small angle to the barge. When maneuvering a heavy barge up a wide channel with a tug, the tow can be most closely controlled by making up to the barge nearly stern to stern, at a small angle. This configuration provides the most direct control over the barge's movement, as the tug can apply thrust directly to the barge's stern, allowing for precise maneuvering and course adjustments. The other options are less ideal for close control of the barge. Making up nearly bow to bow (A) or amidships, parallel to the barge (D) would not provide the same level of direct control over the barge's stern. A short tow astern (C) may be less stable and harder to maneuver in a wide channel.