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As the question is, the answer is 7 meters (3 + 4).

If the question was meant to ask the distance (D) travelled in a straight line from the starting point then the two legs of the journey represent the two legs of a right angled triangle. Using Pythagoras' Theorem,

D2 = 32 + 42 = 9 + 16 = 25

D = √25 = 5 meters.

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Q: Jesse travels 3.0 meters east and then turns and travels 4.0 meters north What distance did Jesse travel?
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