Given are the elevations of a hose connected to a building on one side and to a ship on the other. The below sketch shows the POC-Points of Connection as 19.09 ft on building and 49.9 ft on the ship. The distance from the building to the mid-span of hose is r2= 5 ft and r1 from ship is r1=6.5 ft. The hose is not to go below the elevation of the deck at y0=7 ft. I would like someone to calculate the necessary length of hose via catenary formula showing all steps with comments.
