Determine the difference of latitudes, DLAT, given the ship's initial position P1: (78° 54' S, 095° 22' E) and final position P2: (33° 12' S , 13° 15' W).

To calculate the difference of latitudes (DLAT), we need to subtract the latitude of the final position (P2) from the latitude of the initial position (P1).

The latitude of P1 is given as 78° 54' S, which can be converted to decimal degrees as follows:
78 + (54/60) = 78.9

The latitude of P2 is given as 33° 12' S, which can be converted to decimal degrees as follows:
33 + (12/60) = 33.2

Now we can calculate the difference of latitudes:
DLAT = latitude of P1 - latitude of P2
= 78.9 - 33.2
= 45.7

Therefore, the difference of latitudes (DLAT) is 45.7 degrees.