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An airplane is flying north with an airspeed of 200 km/h when it meets a
crosswind of 70 km/h toward the east. What king of expression
can determine the resultant speed of the airplane?

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The compass of an aircraft indicates that it is headed due north, and its airspeed indicatorshows that it is moving through the air at 120 miles per hour (that is, the velocity of the aircraftrelative to the air is 120 mi hr -1 ). If there is a wind of 50 miles per hour from west to east (thevelocity of the air is 50 mi hr -1 east),(a) what is the velocity of the aircraft relative to the ground?(b) in what direction should the pilot head in order to travel due north relative to the ground?
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2. The compass of an aircraft indicates that it is headed due north, and its airspeed indicatorshows that it is moving through the air at 120 miles per hour (that is, the velocity of the aircraftrelative to the air is 120 mi hr -1 ). If there is a wind of 50 miles per hour from west to east (thevelocity of the air is 50 mi hr -1 east),(a) what is the velocity of the aircraft relative to the ground?(b) in what direction should the pilot head in order to travel due north relative to the ground?