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Real-Life Activities

Real-Life Math

You are a flight navigator on a plane that has to deliver food supplies to a remote spot that is 1,000 miles due north from your home base. Your pilot wants to know how long it would take to get there if the plane flew at its maximum speed of 420 knots (or miles) an hour.

Calculate the travel time, assuming that you will encounter a crosswind due southeast that is 40 knots strong, hitting the plane from a 60-degree angle.

Consider these facts. The true speed of a plane that flies at 420 miles an hour into a 20-knot headwind is only 400 miles an hour. Of course, if the same plane gets a 20-knot tailwind, its true speed is 440 miles an hour.

You also have to consider the angle of the wind. You already know what happens to the speed of the plane (or for that matter any object) if the wind comes directly from behind or from the front. But what happens if the wind comes from an angle? Hint: use your knowledge of trigonometry to solve this problem.