Two persons are 'a' meters apart and the height of one is double that of the oth

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Two persons are 'a' meters 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, then the height of the shorter post is

Options:

A . $$\frac{a}{4}$$

B . $$\frac{a}{{\sqrt 2 }}$$

C . $$a\sqrt 2 $$

D . $$\frac{a}{{2\sqrt 2 }}$$

Answer: Option D

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