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Home > PC > Chapter 10 > Lesson 10.1.4 > Problem 10-57


A plane in calm air flies at a constant rate of mph. There is a mph wind blowing toward a bearing of . What bearing must the pilot fly in order to have a due east heading? At what rate will the plane be traveling?

Draw and label a diagram.

Solve the triangle using the Law of Sines. Remember to give your answer as a bearing.

x axis labeled W on left, E on right, y axis labeled N on top, S on bottom, radius in fourth quadrant, shaded arc from positive y axis to radius, labeled 140 degrees, & obtuse triangle, comprised of rays, bottom side points right, labeled, actual path of plane, left side pointing up & right, labeled plane, 200 mph, right side pointing down & right, labeled wind, 40 mph, bottom right angle labeled 50 degrees.