Boat in the fog

Geometry Level 1

You are on a boat on the sea and the weather is so foggy that you cannot see anything beyond your own boat. You have a GPS, so that you can plan and accurately execute a travel path, but you do not have a map. You have fuel for 7 miles of travel.

You know that the shore is a straight line, exactly 1 mile from you. You do not know what is the direction of the shoreline. Is there a travel plan that will certainly lead you to the shore before the fuel runs out?

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