An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the northwest at 50 km/hr. How many degrees off course will the plane end up flying, and what is the plane’s speed relative to the ground?
Added by Patrick W.
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Step 1: Calculate the speed of the plane with respect to the ground using the formula: \[ \text{Speed of plane with respect to ground} = \sqrt{(500^2 + 50^2) - 2(500)(50)\cos(135^\circ)} \] Show more…
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An airplane is heading north at an airspeed of $500 \mathrm{km} / \mathrm{hr},$ but there is a wind blowing from the northwest at $50 \mathrm{km} / \mathrm{hr}$. How many degrees off course will the plane end up flying, and what is the plane's speed relative to the ground?
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