Problem 5

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Maryville University *

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301

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Geography

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Oct 30, 2023

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docx

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1

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A diver explores a shallow reef off the coast of Belize. She initially swims d ⃗ 1 = 82.3 m north, makes a turn to the east and continues for d ⃗ 2 = 167.2 m, then follows a big grouper (a kind of fish) for d ⃗ 3 = 85.3 m in the direction θ = 43.5° north of east. Finally, she swims d ⃗ 4 = 181.9 m south. a) What is the straight-line distance, in meters, between her initial and final positions? b) Suppose she wants to swim back to her initial position in a straight line. In what direction should she swim? Express your answer as an angle in degrees north of west.
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