SOLUTION: An airplane can cruise at 255 mph in still air. If a steady wind of 46 mph is blowing from the west, what heading should the pilot fly to end up at a heading of 0 degrees (due Nort

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Question 1154886: An airplane can cruise at 255 mph in still air. If a steady wind of 46 mph is blowing from the west, what heading should the pilot fly to end up at a heading of 0 degrees (due North)?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

Right angle triangle with the hypotenuse of 255 miles in the second quarter (starting from the origin of the coordinate system)


and the leg of 46 miles parallel to x-axis.


The angle  alpha  of heading is  sin%28alpha%29 = 46%2F255 = 0.180392 with the y-axis.


Having clear instructions, you do the rest.


I am not familiar with this aviation / pilot's terminology; therefore, I use the terms related to coordinate plane.