A ladder leaning against a wall makes a 60-degree angle with the ground. If the ladder is 25 feet long, the height at which it touches the wall isfeet.
Answer & Analysis
Analysis
Question Analysis
This problem involves applying the sine ratio in a real-world context, specifically a ladder leaning against a wall.
Key Concept Explanation
The sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse. Here, the opposite side is the height at which the ladder touches the wall, and the hypotenuse is the length of the ladder.
Step-by-step Solution
1. Given: , hypotenuse (ladder length) = 25 feet
2. Use the sine ratio:
3. Substitute the known sine value:
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