The relaxation corner doesn't need a pool in the background to work: what makes it special is the view, the right shade and a seat you actually want to stay in.
If your terrace has a view — of the sea, the garden or just the horizon — it's worth orienting the loungers toward it, even if that means giving up a little shade at certain hours. A parasol or a movable shade sail solves the sun without blocking the landscape the rest of the day.
A low side table next to each lounger keeps the drink or the book from ending up on the floor, and a water-resistant textile means there's no need to rush to put the cushions away if a passing shower hits.
Less is more in this space: two well-placed loungers with their table always look better than five crowded pieces trying to fill the area.