Question
A ship sails for 5 hours from position A: (27° 38' N, 112° 45' W) at a speed of 16 knots on a course of 295°T.
Determine the course angle.
Determine the course angle.
Answers
GPT 3.5
To determine the course angle, we need to find the initial and final positions of the ship.
The initial position is given as coordinates (27° 38' N, 112° 45' W).
We convert these coordinates to decimal degrees.
For latitude, 1 degree is equal to 60 minutes, so 27° 38' N is equal to 27 + (38/60) = 27.6333 degrees N.
For longitude, 1 degree is equal to 60 minutes, so 112° 45' W is equal to -112 - (45/60) = -112.75 degrees W.
The final position can be calculated by multiplying the speed of the ship (16 knots) by the time sailed (5 hours). This gives us a distance of 16 knots/hour * 5 hours = 80 nautical miles.
Now, we need to consider the course angle of 295°T. T stands for true heading, which means the angle is measured clockwise from true north. However, we need to convert this to a compass bearing where the angle is measured clockwise from magnetic north.
The difference between true north and magnetic north, known as magnetic variation, is different for different locations. For the given location, let's assume the magnetic variation is -5 degrees (meaning magnetic north is 5 degrees west of true north).
To convert the course angle from true heading to magnetic bearing, we add the magnetic variation (-5 degrees) to the course angle (295 degrees). This gives us a magnetic bearing of 295 + (-5) = 290 degrees.
Therefore, the course angle is 290 degrees.
The initial position is given as coordinates (27° 38' N, 112° 45' W).
We convert these coordinates to decimal degrees.
For latitude, 1 degree is equal to 60 minutes, so 27° 38' N is equal to 27 + (38/60) = 27.6333 degrees N.
For longitude, 1 degree is equal to 60 minutes, so 112° 45' W is equal to -112 - (45/60) = -112.75 degrees W.
The final position can be calculated by multiplying the speed of the ship (16 knots) by the time sailed (5 hours). This gives us a distance of 16 knots/hour * 5 hours = 80 nautical miles.
Now, we need to consider the course angle of 295°T. T stands for true heading, which means the angle is measured clockwise from true north. However, we need to convert this to a compass bearing where the angle is measured clockwise from magnetic north.
The difference between true north and magnetic north, known as magnetic variation, is different for different locations. For the given location, let's assume the magnetic variation is -5 degrees (meaning magnetic north is 5 degrees west of true north).
To convert the course angle from true heading to magnetic bearing, we add the magnetic variation (-5 degrees) to the course angle (295 degrees). This gives us a magnetic bearing of 295 + (-5) = 290 degrees.
Therefore, the course angle is 290 degrees.