Geometry

Question Analysis:  
This is a real-world application of the Pythagorean Theorem, modeling the ladder, wall, and ground as a right triangle.  

Key Concept Explanation:
The Pythagorean Theorem states that in a right triangle:  
 
where and are the legs, and is the hypotenuse.    
The ladder forms the hypotenuse, while the distance from the wall and the height reached are the legs.  

Step-by-Step Solution:  
1. Given: Hypotenuse () = 15 ft, Leg () = 9 ft.  
2. Find the other leg ():  
   
 

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