Matematika

Pertanyaan

Nomer 2-4 gimana yah?
Nomer 2-4 gimana yah?

1 Jawaban

  • 2). Dik:
    LM (k) = 10 cm
    KM (l) = 4√3 cm
    ∠K (K)= 60°

    Dit:
    Cos L = ............. ?

    Jwb:
    k/sin K = l/sin L
    10/sin 60° = 4√3/sin L
    10/(1/2√3) = 4√3/sin L
    sin L = (4√3 x 1/2√3)/10
    sin L = (2 x 3)/10
    sin L = 6/10
    sin L = 3/5

    Kemudian cari cos L,,
    sin = depan (d)/miring (m)
    cos = samping (s)/miring (m)

    Karena "d" dan "m" sudah diketahui, maka cari "s" nya
    s = √(m² - d²)
    s = √(5² - 3²)
    s = √(25 - 9)
    s = √16
    s = 4

    Jadi, cos L adalah:
    cos L = samping/miring = 4/5

    3).
    a) Dik:
    sin A = 53°
    a = 14 cm
    b = 10 cm

    Dit:
    sin B = ....... ?

    Jwb:
    a/sin A = b/sin B
    14/sin 53° = 10/sin B
    14/0,798 = 10/sin B
    sin B = (0,798 x 10)/14
    sin B = 7,98/14
    sin B = 0,57

    b). Dik:
    b = 4 cm
    c = 6 cm
    sin B = 25°

    Dit:
    sin C = .......... ?

    Jwb:
    b/sin B = c/ sin C
    4/sin 25° = 6/sin C
    4/0,422 = 6/sin C
    sin C = (0,422 x 6)/4
    sin C = 2,532/4
    sin C = 0,633

    4). Dik:
    b = 2,8 cm
    ∠A = 53°
    ∠B = 61°

    Dit:
    a = ....... ?

    Jwb:
    a/sin A = b/sin B
    a/sin 53° = 2,8/sin 61°
    a/0,798 = 2,8/0,874
    a = (0,798 x 2,8)/0,874
    a = 2,2344/0,874
    a = 2,556