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Published byJemima Skinner Modified over 8 years ago
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Plane and Wind
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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. 246 15 57 ° Green line is the new direction of the plane.
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First Find the Length of the Green Line We know that the obtuse angle in the triangle is 123 o because it is supplementary to the 57 o angle. 246 15 57 o 123 o
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Now Find the Angle We can find the angle between the original and new directions of the plane. 246 15 254.5 o
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Now Find the New Bearing of the Plane If alpha is approximately 3, the new bearing is approximately 183 o. 183 o
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