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Plane and Wind. Solving Problems Using Vectors. A plane is heading due south with an airspeed of 246 mph. A wind from a direction of 57° is blowing at 15 mph. Find the bearing of the plane. 57 °. 15. Green line is the new direction of the plane. 246.
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Solving Problems Using Vectors A plane is heading due south with an airspeed of 246 mph. A wind from a direction of 57° is blowing at 15 mph. Find the bearing of the plane. 57° 15 Green line is the new direction of the plane. 246
First Find the Length of the Green Line We know that the obtuse angle in the triangle is 123o because it is supplementary to the 57o angle. 57o 246 123o 15
Now Find the Angle We can find the angle between the original and new directions of the plane. 246 254.5o 15
Now Find the New Bearing of the Plane If alpha is approximately 3, the new bearing is approximately 183o. 183o