EXERCISE 1– PLANE AND PARALLEL SAILING (Numerical Solution)

14. FROM : LAT 60˚ 20.6’ S           LONG    176˚  4’ W

    TO: LAT 60˚ 01.7’ S           LONG 175˚  54.9’ W

D’LAT   00˚ 18.9’ N        D’LONG   000˚ 23.5’ E

D’LAT   00˚ 18.9’ N        D’LONG     000˚ 23.5’ E   and    M’LAT    60˚ 11.1’ S

We know that:

DEP. = (D’LONG × Cos M’LAT)
= (23.5 × Cos 60˚ 11.1’)
= 11.7

Tan Co. = DEP. / D’LAT
= 11.7 / 18.9
COURSE = N 31˚ 45.6’ E

DISTANCE = (D’LAT × Sec Co.)
= (18.9 × Sec 31˚ 45.6 ’)
DISTANCE = 22.2 M

15. FROM : LAT 50˚ 16.3’ N           LONG    000˚  3’ E

    TO : LAT 49˚ 50.4’ N      LONG 000˚  20.1’W

D’LAT   00˚ 25.9’ S        D’LONG    000˚  32.4’ W

D’LAT   00˚ 25.9’ S        D’LONG     000˚ 32.4’ W   and  M’LAT  50˚ 03.3’ N

We know that:

DEP. = (D’LONG × Cos M’LAT)
= (32.4 × Cos 50˚ 03.3’)
= 20.8

Tan Co. =( DEP. / D’LAT)
= 20.8 / 25.9
COURSE = S 38˚ 46.2’ W

DISTANCE = (D’LAT × Sec Co.)
= (25.9 × Sec 38˚ 46.2’)
DISTANCE = 33.2 M