EXERCISE 1– PLANE AND PARALLEL SAILING (Numerical Solution)

12. FROM : LAT 30˚ 16.8’ S           LONG    057˚  3’ E

    TO: LAT   31˚ 00.7’ S           LONG  058˚  20.4’ E

D’LAT   00˚ 43.9’ S        D’LONG    000˚ 31.1’ E

D’LAT   00˚ 43.9’ S        D’LONG     000˚ 31.1’ E   and    M’LAT  30˚ 38.7’ S

We know that:

DEP. =( D’LONG × Cos M’LAT)
= (31.1 × Cos 30˚ 38.7’)
= 26.7

Tan Co. = (DEP. / D’LAT)
= (26.7 / 43.9)
COURSE = S 31˚ 21.7’ E

DISTANCE =( D’LAT × Sec Co.)
= (43.9 × Sec 31˚ 21.7’)
DISTANCE = 51.4 M

13. FROM : LAT 00˚ 11.6’ N          LONG    179˚  2’ W

    TO: LAT 00˚ 40.3’ S         LONG 178˚  40.1’ E

D’LAT   00˚ 51.9’ S        D’LONG   001˚  29.7’ W

D’LAT   00˚ 51.9’ S        D’LONG     001˚ 29.7’ W   and    M’LAT  00˚ 26’ S

We know that:

DEP. = ( D’LONG × Cos M’LAT)
=  (89.7 × Cos 00˚ 26’) 
= 89.7

TAN Co. =(  DEP. / D’LAT)
= ( 89.7 / 51.9)
COURSE = S 59.9˚ W

DISTANCE = (D’LAT × Sec Co.)
= (51.9 × Sec 59.9˚)
DISTANCE = 103.5 M