(20 14? Liuzhou No.2 Middle School Model) Huanggang Efficient Classroom Live Meeting was held in Yingshan Experimental Middle School. In order to create an atmosphere, the organizer hangs down from po

(20 14? Liuzhou No.2 Middle School Model) Huanggang Efficient Classroom Live Meeting was held in Yingshan Experimental Middle School. In order to create an atmosphere, the organizer hangs down from point A on the top of the teaching building. Let AG=x,

Judging from the meaning of the question, ∠ AEG = 45, tan∠AFG=83,

In Rt△AEG, eg = Agtan ∠ AEG = Agtan 45 = X.

In Rt△AFG, FG=AGtan∠AFG=38x,

∫EF = 15m，

∴x-38x= 15，

Solution: x=24, that is, AG=24 meters,

The m point at the bottom of the slogan is 9m from the ground.

∴ slogan length AM = Ag+GB-9 = 16m.

A: The length of the slogan AM is16m.