A ramp forms a 30-60-90 triangle with the ground. If the height of the ramp (the shorter leg) is 3 feet, the length of the ramp (the hypotenuse) isfeet.
Answer & Analysis
Analysis
Question Analysis
This problem applies the 30-60-90 triangle ratio to a real-world scenario involving a ramp.
Key Concept Explanation
In a 30-60-90 triangle, the sides are in the ratio . The hypotenuse is twice the length of the shorter leg.
Step-by-step Solution
1. Identify the given value: the height of the ramp (shorter leg) is 3 feet.
2. Use the ratio to find the hypotenuse:
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