The displacement is the distance and direction from the starting point. Add the vectors to see where the hiker ends up. The fact that it took 2.5 hours does not affect the answer.
If you do not know how to add vectors, there are a number of good sites where you can learn about that.
Using i-j notation (with j being a unit vector north and i a unit vector east) , the sum is
7.07 i + 7.07 j -5.00 i -2.00 j
= 2.07 i - 5.07 j
The magnitude of the displacement is 5.48 km. The direction is 22.2 degrees (arctan 0.408) south of east
a hiker walks 10.0km(NE), 5.0 (W) and then 2.0km(S) in 2.5h. What is the hikers displacement?
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