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Two vertical poles of heights 6 m and 11 m stand on level ground 12 m apart. What is the distance between their tops ?

  • A.12 m
  • B.13 m
  • C.15 m
  • D.17 m

Answer: C

Correct answer: 13 m

The line joining the tops is the hypotenuse of a right triangle whose horizontal side is the gap and whose vertical side is the difference in heights.

\[d = \sqrt{12^2 + (11-6)^2} = \sqrt{144 + 25} = \sqrt{169} = 13 \text{ m}\]

It is the difference of the heights that matters, not their sum.

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