Answer:
So, the ship is heading directly south from the port after traveling 25 miles in the northwest direction, then turning 90° to the right and traveling 25 miles in a south-southwest direction.
Step-by-step explanation:
To find the bearing of the ship from the port, we need to analyze the ship's movements step by step.
1. The ship leaves port with a bearing of N 78° W. This means the ship is initially heading in a northwest direction.
2. After traveling 25 miles, the ship turns 90° to the right. This means that the ship is now heading east.
3. The ship then travels on a bearing of S 12° W for 25 miles. This means that the ship is heading in a south-southwest direction.
To determine the final bearing of the ship from port, we need to combine the two directions in which the ship has traveled.
First, let's represent the initial bearing of N 78° W as an angle on a compass rose.
N
90°
|
|
|
|
78° W | 0°
|
|
|
|
270°
S
Next, let's represent the second bearing of S 12° W as an angle on the compass rose.
N
90°
|
|
|
|
78° W | 0°
|
|
|
|
270°
S
348° W
To find the final bearing of the ship from port, we need to add the two angles together:
78° + 90° + 12° = 180°
The final bearing of the ship from the port is 180°, corresponding to a due south direction.
So, the ship is heading directly south from the port after traveling 25 miles in the northwest direction, then turning 90° to the right and traveling 25 miles in a south-southwest direction.
