A jet is flying due north relative to the ground. The speed of the jet relative to the ground is 155 m/s. The wind at the jet’s altitude is 40.0 m/s toward the northeast (45.0∘∘ north of east). Suppose that the +x-axis is directed eastward and the +y-axis is directed northward. Find the speed of the jet relative to the air (its airspeed). Find the direction in which the pilot of the jet must point the plane so that it travels due north relative to the ground. The direction angle is measured from the +x-axis toward the +y-axis.
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