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).
2 points
45° 42'' N
45° 42'' S
112° 06' N
112° 06' S
To determine the difference in latitudes (DLAT), we need to subtract the latitude of P2 from the latitude of P1.
P1: 78° 54' S
P2: 33° 12' S
To subtract these angles, we need to convert them to a common notation. Let's convert them to decimal degrees:
P1: 78° 54' S = -78.900°
P2: 33° 12' S = -33.200°
Now we can subtract the latitudes:
DLAT = P1 - P2 = -78.900° - (-33.200°) = -78.900° + 33.200° = -45.700°
However, since the angle is in the southern hemisphere, we represent it as a negative angle, so the difference in latitudes (DLAT) is 45° 42''S. Therefore, the correct answer is 45° 42''S.