The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.3 m/s in a direction 28° east of north relative to the Earth. It encounters a wind that has a velocity of 4.5 m/s in a direction of 45° south of west relative to the Earth. What is the magnitude of the velocity of the wind relative to the water, in meters per second? What is the angle of the velocity of the wind relative to the water degrees south of west?
The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.3 m/s in a direction 28° east of north relative to the Earth. It encounters a wind that has a velocity of 4.5 m/s in a direction of 45° south of west relative to the Earth. What is the magnitude of the velocity of the wind relative to the water, in meters per second? What is the angle of the velocity of the wind relative to the water degrees south of west?
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Transcribed Image Text:The velocity of the wind relative to the water is
crucial to sailboats. Suppose a sailboat is in an
ocean current that has a velocity of 2.3 m/s in a
direction 28° east of north relative to the Earth. It
encounters a wind that has a velocity of 4.5 m/s
in a direction of 45° south of west relative to the
Earth.
What is the magnitude of the velocity of the wind
relative to the water, in meters per second?
What is the angle of the velocity of the wind
relative to the water degrees south of west?
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