A ship sails north, then turns 45° in a clockwise direction. After another hour, it turns clockwise 90°. In which direction is the ship now sailing?
90 + 45 = 135° west?
the heading is now 135°
period. All headings are measured clockwise from due North.
This can also be expressed as relative headings, such that the angle is at most 90°, as in
E 45° S
S 45° E
These are both abbreviated as just SE.
To find out in which direction the ship is now sailing, we need to understand the directions based on the degrees mentioned in the question.
The ship first sails north, which we can consider as 0°. Then it turns 45° in a clockwise direction. This means it is changing its direction to the right, or east. So, after the first turn, the ship is sailing to the east, at 45°.
After another hour, the ship turns clockwise 90°. This means it makes a right-angle turn to the right. Adding this to the previous 45° angle, we get a total of 135°.
So, the ship is now sailing in the direction of 135°, which is in-between east and south-east. Therefore, the ship is currently sailing south-east.