A ladder leaning against a wall makes an angle ofwith the ground. If the ladder is 10 meters long, how high up the wall does it reach? The height ismeters.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the application of the sine function in a real-world context involving a right triangle.
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. Mathematically, . For a angle, the sine value is .
Step-by-step Solution
1. Identify the given information: Angle = , Hypotenuse = 10 meters.
2. Use the sine function: .
3. Substitute the sine value:
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