解:由已知得,?$AB=1m,$??$CD=1.5m,$??$AC=4m,$??$FB=GD=1.5m,$?
?$∠AOE=∠ABF=∠CDG=90°,$??$∠BAF=∠OAE,$??$∠DCG=∠OCE$?
∵?$∠BAF=∠OAE,$??$∠ABF=∠AOE$?
∴?$△BAF∽△OAE$?
∴?$\frac {FB}{AB}=\frac {OE}{OA},$?即?$\frac {1.5}{1}=\frac {OE}{OA}$?
∴?$OE=1.5OA$?
∵?$∠DCG=∠OCE,$??$∠CDG=∠COE$?
∴?$△GDC∽△EOC$?
∴?$\frac {GD}{CD}=\frac {OE}{OC},$?即?$\frac {1.5}{1.5}=\frac {OE}{OA+4}$?
∴?$OE=OA+4$?
∴?$1.5OA=OA+4$?
∴?$OA=8m,$??$OE=12m$?
答:高樓?$OE$?的高度為?$12m。$?