EXERCISE 1– PLANE AND PARALLEL SAILING (Numerical Solution)

IN THE FOLLOWING CASES, FIND THE COURSE AND DISTANCE:

	FROM		TO
S N/O.	LATITUDE	LONGITUDE	LATITUDE	LONGITUDE
6.	20˚ 30.0’ N	179˚  36.0’ E	16˚ 18.0’ N	178˚  32.0’ W
7.	03˚ 12.0’ N	004˚  11.3’ E	02˚ 30.4’ S	002˚  10.0’ W
8.	56˚ 12.5’ S	046˚  12.5’ W	50˚ 11.3’ S	044˚  14.8’ W
9.	36˚ 11.7’ N	075˚  12.6’ E	40˚ 18.6’ N	080˚  11.5’ E
10.	60˚ 11.6’ N	076˚  44.3’ W	55˚ 10.3’ N	080˚  16.8 W

SOLUTIONS:

6. FROM : LAT 20˚ 30.0’ N           LONG    179˚  0’ E

   TO: LAT   16˚ 18.0’ N     LONG    178˚  32.0’ W

D’LAT   04˚ 12.0’ S        D’LONG     001˚ 52.0’ E

D’LAT   04˚ 12.0’ S        D’LONG     001˚ 52.0’ E   and    M’LAT    18˚ 24.0’ S

We know that:

DEP. = (D’LONG × Cos M’LAT)
= (112 × Cos 18˚ 24.0’)
= 106.27 W

Tan Co. = (DEP. / D’LAT)
= 106.27 / 252
COURSE = S 22˚ 51.9’ E

DISTANCE = (D’LAT × Sec Co.)
= (252 × Sec 22˚ 51.9’)
DISTANCE = 273.5 M