Solve the following question:
Question: A circumpolar star has an altitude over the horizon of 4 degrees 12' at west-to-east transit and 51 d 30' at east-to-west transit (how does it transit twice?)
Part A: What is the latitude of the observer?
Part B: What is the declination of the star? Assume atmospheric refraction has been accounted for.
I know the correct answer but explain how to get this answer!