Question

Two poles of height 6 m and 11 m stand on a plain ground and the distance between their feet is 12 m, then the distance between their tops is

• A. 11
• B. 12
• C. 13
• D. 14

Answer 1

The Correct Option is C

Correct answer: 13 

Explanation:
The height difference between the two poles is: \[ 11 - 6 = 5\ \text{m} \] The horizontal distance between the poles is: \[ 12\ \text{m} \] Now, use the Pythagorean Theorem to find the distance between the tops of the poles: \[ \text{Distance} = \sqrt{(12)^2 + (5)^2} = \sqrt{144 + 25} = \sqrt{169} = 13 \]

Hence, the distance between the tops of the poles is 13 meters.