A ladder leaning against a wall makes a 30-degree angle with the ground. If the ladder is 12 feet long, the height at which it touches the wall isfeet.
Answer & Analysis
Analysis
Question Analysis
This problem applies the sine function to a real-world scenario involving a ladder and a wall.
Key Concept Explanation
The sine of an angle in a right triangle is the ratio of the length of the opposite side (height in this case) to the length of the hypotenuse (the ladder's length). Given the angle and the hypotenuse, the height can be found using the sine ratio.
Step-by-step Solution
1. Use the sine ratio:
2. Substitute the known values:
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