Answer:
365.16 miles
Step-by-step explanation:
In order to find the displacement, firs find the N/S and E/W displacements individually. Assuming south and west as our positive axes.
[tex]N/S = 125 + 140*sin(30) - 225*sin(15)\\N/S = 136.7657\ miles\\\\E/W = 0 + 140*cos(30) + 225*cos(15)\\E/W = 338.5769[/tex]
The displacement of the plane is given by:
[tex]D^2 = (N/S)^2+(E/W)^2\\D=\sqrt{136.7657^2+338.5769^2}\\D=365.16\ miles[/tex]
The displacement of the plane from its original position is 365.16 miles.
