Answer:
a) [tex]r = 182838000\,mi[/tex], b) [tex]r = 189162000\,mi[/tex]
Explanation:
a) The distance between the center and one of the foci is:
[tex]c = \epsilon \cdot a[/tex]
[tex]c = (0.017)\cdot (186000000\,mi)[/tex]
[tex]c = 3162000\,mi[/tex]
The shortest distance is:
[tex]r = a - c[/tex]
[tex]r = 186000000\,mi -3162000\,mi[/tex]
[tex]r = 182838000\,mi[/tex]
b) The longest distance is:
[tex]r = a + c[/tex]
[tex]r = 186000000\,mi +3162000\,mi[/tex]
[tex]r = 189162000\,mi[/tex]