Multiple choice

Two poles of heights 6 m and 11 m stand vertically on a plane pound. If the distance between their feet is 12 m. Then determine the distance between their tops.

  1. 11 m

  2. 13 m

  3. 12 m

  4. 9 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The horizontal separation of the tops is 12 m, while their vertical separation is 11 - 6 = 5 m. The distance between the tops is therefore sqrt(12^2 + 5^2) = 13 m.

AI explanation

The difference in height between the two poles is 11 m minus 6 m, which equals 5 m. The tops of the poles, along with the points at their bases on the horizontal plane, form a right triangle with a horizontal leg of 12 m and a vertical leg of 5 m. Using the Pythagorean theorem, the distance between the tops is the hypotenuse, calculated as sqrt(12^2 + 5^2) = sqrt(144 + 25) = sqrt(169). The result is 13 m.

Keep practicing — related questions