Two poles of height 6 m and 11 m stand on a plane ground. If the distance…
2026
Two poles of height 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m then find the distance between their tops.
- A.
12 m
- B.
5 m
- C.
13 m
- D.
11 m
Attempted by 2 students.
Show answer & explanation
Correct answer: C
Key idea: The line joining the tops, the horizontal distance between the feet, and the vertical difference in heights form a right triangle.
Compute the vertical difference: 11 - 6 = 5 m.
Horizontal distance between the feet = 12 m.
Let x be the distance between the tops (the hypotenuse). Apply the Pythagorean theorem: x^2 = 12^2 + 5^2 = 144 + 25 = 169.
So x = sqrt(169) = 13 m.
Answer: 13 m.