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Seeking coordinates in the second volume of mathematics in the eighth grade
The coordinate of point A is (0,0).

After sailing for 2 hours, it reaches the point B with the coordinate of (0,60).

Let the location of the island be point C.

Then the angle between AC and the positive direction of X axis is 30 degrees, the angle between BC and the positive direction of X axis is 60 degrees, and the distance between AB is 60.

Let the ordinate of point C be X, the vertical line passing through point C be X-axis, and the vertical foot be point D, then BD=x/ (root number 3), AD= (root number 3)*x, then AB=AD-BD, and x=30* (root number 3).

Then the coordinates of point C are (90,30 * (root number 3)).