Algebra-2

Question Analysis
This problem evaluates the ability to find the longer leg given the hypotenuse in a 30-60-90 triangle.

Key Concept Explanation
In a 30-60-90 triangle, the hypotenuse is twice the length of the shorter leg, and the longer leg is times the shorter leg.

Step-by-step Solution
1. Identify the given length of the hypotenuse: 18 units
2. Use the ratio for the hypotenuse: Hypotenuse = 2 * Shorter Leg
3. Solve for the shorter leg: Shorter Leg = units
4. Use the ratio for the longer leg: Longer Leg =

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