Plane Sailing Example 1

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If given lat and long for P1 and P2, solve or convert for l and final latitude in degrees and tenths, and solve for DLo in minutes, then enter into the equation p=DLo cos L2 to solve for p. Then solve for C using the equation tan C= p/l, after converting l to nm, to find C. Next, to find the distance traveled, plug what you know into the equation sin C = p/D to solve for the distance traveled in nautical miles.

L1: 3406N
l1: 14632 E
L2: 3016’N
 = 30.2667N
l2: 14016 E
l: 350’ (S)
 =3.8333 (S)
DLo: 616 (W)
 = 376 (W)

p = DLo cos L2
p =  376 cos 30.2667
p = 324.75nm

tan C = p/l
l = 350 = 230nm
tan C = 324.75 / 230

C = S 54.69 W
Cn = 234.69 T

sin C = p/D
sin 54.69 = 324.75/D
D = 397.96nm

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