Algebra-2

Question Analysis
This problem assesses the knowledge of sine values in special right triangles, specifically a 30-60-90 triangle.

Key Concept Explanation
In a 30-60-90 triangle, the sides are in the ratio . The sine of the 60-degree angle is the ratio of the length of the longer leg (opposite the 60-degree angle) to the hypotenuse. For a 30-60-90 triangle, this value is always .

Step-by-step Solution
1. Identify the given value: hypotenuse = 30 units.
2. Recall the sine value for a 60-degree angle in a 30-60-90 triangle:

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