A weather balloon travels upward for 6 km whi le the wind blows it 10 km north and 8 km east. Approximately what is its final displacement from its initial position?

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AL2006

Final displacement =  √(6² + 10² + 8²)

Final displacement = √(36 + 100 + 64)

Final displacement = √200

Final displacement = 14.14 km (up and to the northeast of the launch)