Let the hexagon ABCDEF be of side ‘a’. Line AD = 2a. Let towers at B and D be B’B and D’D respectively.
From the given data we know that ∠B´AB = 30° and ∠D´AB = 45°. Keep in mind that the Towers B’B and D´D are not in the same plane as the hexagon.
In Triangle B’AB,
Tan∠B´AB =
=> B’B =
In Triangle D´AD, tan ∠D´AD = = 1
=> D’D = 2a
Ratio of heights = : 2 or 1 : 2.
Answer choice (B)
Correct Answer: 1 : 2