As shown in the picture, during the "New Year's Day" period, a promotional banner was hung from point A to point E on the building of a shopping mall. Xiao Ming's family lives above the family's hous

As shown in the picture, during the "New Year's Day" period, a promotional banner was hung from point A to point E on the building of a shopping mall. Xiao Ming's family lives above the family's house opposite the shopping mall. Small

Answer: Solution: Conjugate CD⊥AE through point C at D.

Then ∠ACD=30°, ∠DCE=45°.

∵CF=12,

∴DE=12,

∴CD=12,

In Rt△ACD, ∠ ACD=30°, CD=12,

∴AD=43,

∴AE=AD+DE=43+12．