An airplane's course is set at 24 °{"version":"1.1","math":"°"} west of north at speed of 100km/h. A 36km/h wind is blowing at 30 °{"version":"1.1","math":"°"} south of west. What is the resulting speed and direction of the plane's path?

An airplane's course is set at 24 °{"version":"1.1","math":"°"} west of north at speed of 100km/h. A 36km/h wind is blowing at 30 °{"version":"1.1","math":"°"} south of west. What is the resulting speed and direction of the plane's path?

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Question

An airplane's course is set at 24 °{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>°</mo></math>"} west of north at speed of 100km/h. A 36km/h wind is blowing at 30 °{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>°</mo></math>"} south of west. What is the resulting speed and direction of the plane's path?

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