Two people are \(a\) metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, find the height of the taller person in metres.

Divide your answer by \(a\) and enter the decimal value of the resultant up to three decimal points.

This problem is part of the set Trigonometry.

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