A plane flies 35 km in the direction cap n 30 degrees cap w , then flies 60 km in the direction cap n 60 degrees cap e How far is the plane from its original location?

Break each flight into east-west and north-south components. The 35 km flight N 30° W has components 17.5 km west and about 30.31 km north; the 60 km flight N 60° E has components about 51.96 km east and 30 km north. Together, the plane is about 34.46 km east and 60.31 km north of its start, so its distance from the start is √(34.46² + 60.31²) ≈ 69.46 km. The correct choice is 69.46 km.

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