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We compute the total displacement using the components. We list down each component: A: (x: 2.5cos53.1°) and (y: 2.5sin53.1°) and B: (x: 2 km) and (y: 0 km). We add each component: (x: 2.5cos53.1° + 2) and (y: 2.5sin53.1° + 0) --> (x: 3.50 km) and (y: 2.00 km). Then we use the pythagorean theorem to compute the total displacement: D = sqrt (3.50)^2 + (2.00)^2 = 4.03 km.
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