Multiple choice

Mark the correct alternative of the following. Two poles of heights $6$m and $11$m stand vertically on a plane ground. If the distance between their feet is $12$m, the distance between their tops is?

  1. $13$m
  2. $14$m
  3. $15$m
  4. $12.8$m
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A Correct answer
Explanation

This forms a right triangle with base 12 and height (11-6) = 5. The hypotenuse is sqrt(12^2 + 5^2) = sqrt(144 + 25) = sqrt(169) = 13.

AI explanation

The horizontal distance between the tops of the poles forms a right angled triangle with the difference in their heights and the distance between their tops. The difference in heights is 11 meters minus 6 meters, which equals 5 meters. Using the Pythagorean theorem, the distance between their tops is the square root of the quantity 12 squared plus 5 squared, equaling the square root of 169. The distance is 13 meters.

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