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Answer:

  6 units

Step-by-step explanation:

In a 30°-60°-90° triangle, the shortest side is half the length of the longest side.

  XY = XZ/2 = 12/2

  XY = 6

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Alternate solution

The side of interest is opposite the angle. The given side is the hypotenuse. So, the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(30°) = XY/12

  XY = 12·sin(30°) = 12·(1/2)

  XY = 6

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