Algebra-2

Question Analysis
This problem assesses the application of the sine function in a real-world context.

Key Concept Explanation
The sine of an angle in a right triangle is the ratio of the length of the opposite side to the hypotenuse. Here, the height the ladder reaches is the opposite side, and the length of the ladder is the hypotenuse. So, .

Step-by-step Solution
1. Identify the given values: Angle = , Hypotenuse = 14 meters.
2. Use the sine function: .
3. Substitute the value of :

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