Each mast section overlaps the section below it by the amount shown; what is the length (X) of the top section?
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Answer: C
- 1. Height = base + middle + top − overlaps
- 2. 32 = 12 + 12 + X − 1 − 1 = 22 + X
- 3. X = 32 − 22 = 10′
8′: Ignored both 1′ overlaps: 32 − 12 − 12 = 8′.
9′: Allowed for only one of the two 1′ overlaps.
10′: Correct. Overlaps hide 1′ at each of the two splices, so the sections add to 2′ more than the height: 12 + 12 + X − 1 − 1 = 32, so X = 10′.
12′: Added each 1′ overlap back twice (32 − 24 + 4).
Where parts overlap, the overall length is the sum of the parts minus every overlap; add the overlaps back when working out a missing part.