They were almost 'within striking distance' of their goal. = Their goal was almost 'within striking distance'. [=they were close to achieving their goal]
He spotted the group 'at a distance of' one mile. [=he saw the group when they were one mile away from him]
('Brit') The book is better than the movie 'by some distance'. [=the book is much better than the movie]
(..) have foreseen this. Why the hell do you think there's a designated survivor, Nikki? Because this was foreseen. Now shut up and let me work. [Sirens wail in distance, helicopter blades whirring] Hey. Hey. What are you doing out here? I just needed a minute. (..)2016 TvShow: Designated Survivor Title: Pilot Season: 1 Episode 1
(..) - Hannah... ...on the ground in Brussels and Paris. I know what to look for. Jason... please, I need to be here. [Shouting, sirens, helicopters in distance] Nolan. Lawrence. Yes, Deputy Director? You're with Wells. Anyone claiming responsibility? No, not yet. (..)2016 TvShow: Designated Survivor Title: Pilot Season: 1 Episode 1