Sir Mike Ambrose is the author of the question.
Let CD = 2 units.
Therefore;
Calculating AB.
AB = 1 + (2sin18*tan72 + 2sin36)tan54
AB = 1 + 3.07768353717tan54
AB = 1 + 4.23606797749
AB = 5.23606797749 units.
It implies;
Length AB ÷ Length CD to 2 decimal places is
5.23606797749 ÷ 2
= 2.61803398874
≈ 2.62
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