An airplane flies horizontally from east to west at 314 mi/hr relative to the air. If it flies in a steady 32 mi /hr wind that blows horizontally toward the southwest (45 south of west), find the speed and direction of the airplane relative to the ground. Assume that the vector w gives the direction and speed of the wind, the vector v, gives the direction and speed of the airplane relative the air, and the vector v gives the direction and speed of the airplane relative to the ground. Place the vectors in a coordinate system. Choose the correct diagram below. OB. Oc. OD The speed of the airplane is approximately (Simplify your answer. Do not round until the final answer. Then round to the nearest hundredth as needed.)

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