The angles of elevation of the top of a tower from two points at distances $a$ and $b$ meters from the base and in the same straight line with it are complementary. What is the height of the tower?

Options:

  • A: $\frac{a}{b}$
  • B: $\sqrt{ab}$
  • C: $ab$
  • D: $\sqrt{\frac{a}{b}}$

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