A polite demonstrative meaning 'this person', 'this one', or 'this way/manner'.
この方は佐藤さんですか？
Is this person Mr. Sato?
会議はこの方のやり方で進めることに決めた。
We decided to proceed with the meeting in this person's way.
パンフレットのこの方の写真をご覧ください。
Please look at this photo in the pamphlet.
An archaic first-person pronoun (mainly masculine) used to refer to oneself—found in older or dramatic speech, often when speaking to those of lower status.
この方、ただの旅人でござる。
I am merely a traveler.
この方、殿の命に従い参ります。
I will obey my lord's orders.