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 applies the sine function to a real-world scenario involving a ladder.
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. In this context, the height the ladder reaches on the wall is the opposite side.
Step-by-step Solution
1. Identify the given information: Angle = , Hypotenuse = 20 meters.
2. Use the sine function: .
3. Calculate the height: , so
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