I live in Toronto, Canada. Our old clothesline was affixed atop a 14' post attached to the vehicle shed (the shed is too low, dug into the side of a slope), the bottom of the post was eventually cemented around as part of a pavement initiative in the back alley, before we bought the house.
And the second end of the clothesline is attached to the house - that's not a problem. (However because the back of the house is highest point, the base of the porch is about 5ft up, and then the clothesline about an additional 6ft above that for easy reach when standing on the porch, for a total of ~11ft.)
The old post itself has rotted out at top and bottom and has broken off at the bottom in the cement. It's also bolted to the side of the shed to be sturdy. I don't want to deal with recementing near the bottom of the post and/or breaking up cement that's there because I can't see how to easily stick another one there.
I'm considering options (but the slant of the property is not necessarily condusive to using just the shed by itself for a point to affix the clothesline).
I'm entertinaing bringing putting a post in the back yard but don't know how its base should be placed in the lawn to stay sturdy.
Update 1 (slant of land, very low shed)
(this info also has also been worked into the above description).
The way the land slopes (house higher and vehicle shed lower) the side of the vehicle shed facing the house is only about 5.5 ft high -slightly dug into a slope. A clothesline affixed to the shed would either be very slanted or close to the ground. The post was there before to get the needed height.
Update: Diagram of situation (apologies for my "drawing skills")

Looking for ideas.