A person, standing exactly midway between two towers, observes the top of the tw

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A person, standing exactly midway between two towers, observes the top of the two towers at angle of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower? (Given that tan 22.5° = $$\sqrt 2 - 1$$ )

Options:

A . $$1 - 2\sqrt 2 :1$$

B . $$1 + 2\sqrt 2 :1$$

C . $$3 + 2\sqrt 2 :1$$

D . $$3 - 2\sqrt 2 :1$$

Answer: Option C

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