Answer
$4122$ miles and $162$ miles
Work Step by Step
We have $ r=\dfrac{4090.76}{1-0.0076 \cos \theta}$
or, $ r=\dfrac{4090.76}{1-0.0076 \cos (0)}$
(we use $\theta=0$ for the maximum distance from the center of the Earth.)
or, $ r \approx 4122$ miles
We subtract the average radius of the Earth to get the distance from the surface of the Earth:
$ 4122- 3960=162$ miles
