The correct answer is D) Kip. The unit used to measure anchor line tensions in the offshore drilling industry is the Kip (Kilo-pound-force). Kips are commonly used in the engineering and construction industries to measure large forces, such as those experienced by anchor lines in offshore drilling operations. This is because Kips provide a more appropriate scale for these high-tension applications compared to other units like short tons, long tons, or metric tons. The other answer choices (short ton, long ton, metric ton) are incorrect because they are units of mass or weight, not force, and are not typically used to measure anchor line tensions in the offshore drilling industry.