Algebra-2

Question Analysis
This problem assesses the application of the sine ratio in a real-world context involving a right triangle.

Key Concept Explanation
The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. Mathematically, this is expressed as: In this context, the ladder forms the hypotenuse, and the height at which it touches the wall is the opposite side.

Step-by-step Solution
1. Identify the given values: angle = 60 degrees, hypotenuse = 20 feet.
2. Use the sine ratio:
3. Recall the sine value for 60 degrees:

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