Final answer:
Options A (53 degrees west of north) and C (53 degrees north of west) express the same direction. B (37 degrees north of west) is a different direction because it starts from west, not north.option A and C is correct answer.
Step-by-step explanation:
The question asks which two choices express the same direction out of the options given: A. 53 degrees west of north, B. 37 degrees north of west, C. 53 degrees north of west, and D. All express the same direction. When interpreting these bearings, it's important to visualize them relative to the compass directions:
- A bearing of 53 degrees west of north means starting at north and measuring 53 degrees towards west.
- A bearing of 37 degrees north of west means starting at west and measuring 37 degrees towards north.
- A bearing of 53 degrees north of west means the same as the first bearing, just expressed differently.
Therefore, options A and C express the same direction because both are 53 degrees away from north towards the west. However, option B is different because it starts from west and goes towards north. And option D is incorrect because B is a different direction from A and C.