The three phases can be represented as three equally spaced points on a circle. Each point is a distance of 240 from the circles center (ground). So, what is the distance between two points?
We solve this by solving the triangle with two sides of 240 and an angle of 120^o between them. We immediately see that the other two angles are 30^o each. The length of the remaining side can be solved by the law of sines.
240 * sin(120) / sin(30) = 415
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