A ramp makes a 60-degree angle with the ground. If the length of the ramp is 15 feet, the height at which it reaches isfeet.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to apply the sine function in a real-world context, specifically with a 60-degree angle in a 30-60-90 triangle.
Key Concept Explanation
In a 30-60-90 triangle, the sine of 60 degrees is . Given the hypotenuse (length of the ramp), we can find the opposite side (height).
Step-by-step Solution
1. Recall the sine of 60 degrees:
2. Set up the equation:
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.