A ladder leaning against a wall makes an angle ofwith the ground. If the ladder is 20 meters long, how high up the wall does it reach? The height ismeters.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the application of trigonometric functions in a real-world context.
Key Concept Explanation
The height reached by the ladder can be found using the sine function, where the height is the opposite side and the ladder's length is the hypotenuse. Mathematically, .
Step-by-step Solution
1. Identify the given values: Ladder length (hypotenuse) = 20 meters, Angle = .
2. Use the sine function:
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