Vectors:  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.  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. Please explain how you got your answer in detail.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Vectors: 

A diver explores a shallow reef off the coast of Belize. She initially swims d-> = 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. 

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. Please explain how you got your answer in detail. 

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