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What is the theoretical line length of the third gable and stud framed 406 mm (16") on centre from the corner on a roof with 2:3 (8:12) slope?

  1. 813 mm

  2. 1024 mm

  3. 1465 mm

  4. 2097 mm

The correct answer is: 1024 mm

The theoretical line length of the third gable and stud framed 406mm (16") on centre from the corner on a roof with a 23 (8:12) slope is 1024mm. This means that starting from the corner of the roof, the third stud and gable will be placed at a distance of 1024mm. The options A, C, and D are incorrect because they do not correspond to the specified measurements and slope. Option A is half the correct answer and option D is almost twice the correct answer, indicating an incorrect calculation. Option C is unrelated to the measurements and slope mentioned in the question. Therefore, the correct answer is B.