Unidentified location. (now identified see below). I think the photo dates from the 1930s (but doesn't belong with the same photos as the previous two lighthouses) and the location will be somewhere in the UK.
If you know where it is, please leave a comment, thanks. The cliff on the right may be a clue.
Edit: Thanks to Karen S, it looks like Eddystone lighthouse off Plymouth. (wiki link)