Algebra-2

Question Analysis
This problem applies the 30-60-90 triangle properties to a real-world context, specifically a ladder leaning against a wall.

Key Concept Explanation
In a 30-60-90 triangle, the sides are in the ratio . The distance from the base of the ladder to the wall is the shorter leg, and the height at which the ladder touches the wall is the longer leg.

Step-by-step Solution
1. Identify the given shorter leg (distance from the base to the wall): 5 feet
2. Use the ratio to find the longer leg (height at which the ladder touches the wall):