?$解:如圖:$?
?$由題意得:$?
?$DF=\frac {1}{5}AB=0.15(米) ,$?
?$因?yàn)樾逼翧C的坡比為1 : 2 ,$?
?$所以BC=2AB=1.5(米) , CD=2DF=0.3(米),$?
?$因?yàn)镋D= 2.55米,$?
?$所以EB=ED+BC- CD=2.55+1.5 - 0.3=3.75 (米) ,$?
?$在Rt△AEB中, tan∠AEB=\frac {AB}{EB}= \frac {0.75}{3.75} = \frac {1}{5}$?
?$查表可得,∠AEB≈11.310°≈11° ,$?
?$所以為防止通道遮蓋井蓋,所鋪設(shè)通道的坡角不得小于11度.$?