A diver explores a shallow reef off the coast of Belize. She initially swims d1 -> = 80.7 m north, makes a turn to the east and continues for d2-> =185 m, then follows a big grouper (a kind of fish) for d3-> = 80. 9 m in the direction Θ = 30.8° north of east. Finally, she swims d4=179.8 m south. What is the straight-line distance between her initial and final positions in m? Can you explain how you got your answer in detail?

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University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

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A diver explores a shallow reef off the coast of Belize. She initially swims d₁-> = 80.7 m north, makes a turn to the east and continues for d₂-> =185 m, then follows a big grouper (a kind of fish) for d₃-> = 80. 9 m in the direction Θ = 30.8° north of east. Finally, she swims d₄=179.8 m south.

What is the straight-line distance between her initial and final positions in m? Can you explain how you got your answer in detail?

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