Final answer:
In triangle DEC, the length of line segment DB is less than 20 ft, but the exact length cannot be determined with the given information.
Step-by-step explanation:
In triangle DEC, we know that CE = 12 ft and BE = 8 ft. To find the length of line segment DB, we can use the fact that the sum of the lengths of two sides of a triangle is always greater than the length of the third side. Therefore, DB < DE + BE, or DB < 12 ft + 8 ft. Solving this inequality, we get DB < 20 ft.
So, the length of line segment DB is less than 20 ft. However, we don't have enough information to determine the exact length of DB. Therefore, none of the given answer choices (A. 4 ft, B. 6 ft, C. 8 ft, D. 10 ft) can be confidently chosen as the correct answer.