A ship sailing due east in the North Atlantic has been ordered to immediately change course because the next 50 miles of its (due east) course contains dangerous icebergs. The captain turns and sails on a bearing of 62º, then changes course again to a bearing of 115⁰ until the ship reaches its original course. Suppose, at the moment the ship changed course to a bearing of 115º, one of the icebergs (on the original due east course) was now directly south of the ship. How far away was that iceberg from the ship when it made this change in course?

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