Ahiker leaves her camp and walks 3.5 km in a direction of 55° south of west to the lake. after a short rest at the lake, she hikes 2.7 km in a direction of 16° east of south to the scenic overlook. what is the magnitude of the hiker’s resultant displacement? round your answer to the nearest tenth

Let's choose east as positive x-direction and south as positive y-direction. We can resolve the two displacement along these two axes:

- Displacement 1 (3.5 km, south of west

- Displacement 2 (2.7 km, east of south

So, the total components on the two directions are

And the magnitude of the hiker's resultant displacement is

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