The pilot of a small plane finds that the airport where he intended to land is fogged in. He flies 55 mi west to another airport to find that conditions there are too icy for him to land. He flies 25 mi at 15° east of south and is finally able to land at the third airport.
(a) How far and in what direction must he fly the next day to go directly to his original destination?
(b) How many extra miles beyond his original flight plan has he flown?