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A yacht sails overnight on a course of 60 degrees ( clockwise from north). Observations at dawn show the yacht to be 100 nautical miles farther north than it was at evening twilight. What was the yacht's displacement between twilight and dawn ?
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Added Sun, 28 Jun '15
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Let displacement of the yacht be d.

cos (60) = 100 / d

d = 100 / cos (6) = 100 / 0.5 = 200

Hence, displacement of the yacht = 200 nautical miles.
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Added Sun, 28 Jun '15
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