Multiple choice

Two poles of height $6m$ and $11m$ stand on a plane ground. If the distance between the feet of the poles is $12m$, find the distance between their tops

  1. $13 m$
  2. $14m$
  3. $15m$
  4. $16m$
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A Correct answer
Explanation

The distance between the tops is the hypotenuse of a right triangle with base 12m and height equal to the difference in pole heights (11 - 6 = 5m). Distance = sqrt(12^2 + 5^2) = sqrt(144 + 25) = sqrt(169) = 13m.

AI explanation

The horizontal distance between the poles is 12 m, and the difference in their vertical heights is 11 m - 6 m = 5 m. The distance between their tops forms the hypotenuse of a right-angled triangle with these dimensions. Using the Pythagorean theorem, we calculate the distance as sqrt(12^2 + 5^2) = sqrt(144 + 25) = sqrt(169) = 13 m.

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