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04-06-2023
Mathematics

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A jet's velocity with respect to the air is 520
miles per hour, and its bearing is N45∘E
. The jet encounters a wind with a velocity of 50
miles per hour from the west.

After leaving Airport A and flying in a straight line for 2
hours (with the wind described as above), the jet lands at Airport B. Later, the wind stops, and the jet flies to airport C which is 432
miles due south of Airport A. Find the ground distance between Airports B and C, and determine the direction (bearing) the jet must fly to Airport C. Draw a diagram to support your work. Round your answers to the nearest whole number.

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