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 determine the difference in latitudes, we need to subtract the latitude of the initial position from the latitude of the final position.
Initial latitude in degrees: 78° 54' S
Final latitude in degrees: 33° 12' S
To convert the minutes and seconds to decimal degrees:
78° 54' = 78 + (54/60) = 78.9
33° 12' = 33 + (12/60) = 33.2
Difference in latitudes: 78.9 - 33.2 = 45.7 degrees
Therefore, the difference in latitudes (DLAT) is 45.7 degrees.
To determine the difference of latitudes (DLAT) between the ship's initial position P1 and final position P2, follow these steps:
Step 1: Convert the coordinates to decimal degrees.
- P1: (78° 54' S, 095° 22' E)
- Latitude: -78.9° (-78° - 54'/60)
- Longitude: 95.37° (095° 22' E converted to decimal)
- P2: (33° 12' S, 13° 15' W)
- Latitude: -33.2° (-33° - 12'/60)
- Longitude: -13.25° (13° 15' W converted to decimal)
Step 2: Calculate the difference in latitude.
- DLAT = Latitude of P2 - Latitude of P1
- DLAT = -33.2° - (-78.9°)
- DLAT = -33.2° + 78.9°
- DLAT = 45.7°
So, the difference of latitudes (DLAT) between the ship's initial position P1 and final position P2 is 45.7°.