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Consider four finalists in a treasure hunt who are brought to the center of a large,...

Consider four finalists in a treasure hunt who are brought to the center of a large, flat field. Each is given a meterstick, a compass, a calculator, a shovel, and (in a different order for each contestant). In a second contest, the three displacements given are 70.6 m , 55 ∘ west of north; 15.9 m straight north; and 90.6 m , 45 ∘ south of east. What magnitude does the winner calculate for the displacement to find the keys to the Porsche? What direction does the winner calculate for the displacement to find the keys to the Porsche?

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