A satellite is placed in a position to make a parabolic flight past the moon with the center of the moon at the focal point of the parabola. When the satellite is 5783 km from the surface of the moon, it makes an angle of 60 degrees with the axis of the parabola. The vertex of the parabola is 143 km from the surface of the moon. Use the information given to compute the diameter of the moon.

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