如图,一栏水坝的横断面为梯形ABCD,坝顶宽4.2米.坝高6米,斜坡AB的坡度i 1 =1:1.5

1个回答

  • (1)作AE⊥BC于E,DF⊥BC于F,在Rt△ABE中,

    ∵tanα=

    AE

    BE =

    10

    15 =

    2

    3

    ∴α≈34°

    (2)∵i 1=tanα=

    AE

    BE ,AE=6

    ∴BE=9,

    同理CF=18

    ∴坡底BC的长度=BE+EF+FC=9+4.2+18=31.2(米)