Geometry

Question Analysis:  
This is a real-world application of the Pythagorean Theorem, where the pole, ground, and rope form a right triangle.  
The main focus is on finding the hypotenuse (the rope length).  

Key Concept Explanation:  
In a right triangle with:  
- Pole height = one leg ()  
- Distance from base = other leg ()  
- Rope = hypotenuse ()  
We use the Pythagorean Theorem:  
 

Step-by-Step Solution:  
1. Apply the theorem: