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All three approaches are valid for the right triangle. Using sin 30° = YZ/50 gives YZ = 50(1/2) = 25. The third angle is 180° − (30° + 90°) = 60°, and cos 60° = YZ/50 also gives YZ = 25. The 30°-60°-90° triangle theorem likewise says the side opposite 30° is half the hypotenuse, so YZ = 50/2 = 25.

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