Physics

To solve this problem, we'll break the person's movement into its north-south and east-west components and then combine them to find the total displacement.

Step 1: First Leg (25 meters southeast)

Since the person walks southeast, this forms a 45° angle with the east and south directions. We can find the components:

Eastward component: 

east

Southward component: 

south

Step 2: Second Leg (20 meters directly east)

For this part, the person walks directly east, so the entire distance contributes to the eastward component:

Eastward component: east

Step 3: Third Leg (17.68 meters north)

For the final part, the person walks directly north, so the entire distance contributes to the northward component:

Northward component:

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