Physics

To solve this problem, we need to break each part of the boat's journey into components and then combine them to find the total displacement.

Step 1: First Leg (50 miles at 30 degrees north of east)

The boat sails 50 miles at an angle of 30 degrees north of east. We can break this into components:

Eastward component: 

east

Northward component: 

north

Step 2: Second Leg (40 miles south)

The boat then sails 40 miles directly south:

Southward component: south

Step 3: Third Leg (43.3 miles west)

The boat finally sails 43.3 miles directly west:

Westward component:

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