Matematika

Pertanyaan

tolong dijawab dngan caranya bsk mw kumpl
tolong dijawab dngan caranya bsk mw kumpl

2 Jawaban

  • 27) luas ∆ = 1/2 . PQ . QR . sin Q
    = 1/2 . 15 . 20 . sin 150°
    = 1/2 . 15 . 20 . 1/2
    = 15 . 5
    = 75 cm^2

    28) luas ∆ = 1/2 . PR . QR . sin R
    = 1/2 . 8 . 9 sin 60°
    = 1/2 . 8 . 9 . 1/2 √3
    = 18√3 cm^2

    29) tinggi tiang = 12 m => sisi depan
    Misal jarak A ke tiang = x dan jarak B ke tiang = y
    Maka jarak A ke B = y - x
    Tan A = 12/x
    Tan 45° = 12/x
    1 = 12/x
    x = 12

    Tan B = 12/y
    Tan 30° = 12/y
    1/√3 = 12/y
    y = 12√3

    Jarak A ke B = y - x = 12√3 - 12 = 12(√3 - 1) m

  • 27)

    L = 1/2 × PQ × QR × sin 150°
    = 1/2 × 15 × 20 × 1/2
    = 75 cm^2 (A)

    28)

    L = 1/2 × PR × QR × sin 60°
    = 1/2 × 8 × 9 × 1/2 akar 3
    = (18 akar 3) cm^2 (E)

    29)

    tinggi tiang bendera (T) = 12 m
    < A = 45°
    < B = 30°
    misal :
    jarak tiang ke sudut A (45°) = a
    jarak tiang ke sudut B (30°) = b
    Tan A = T / a
    Tan 45° = 12 / a
    a = 12 / tan 45°
    a = 12 / 1
    a = 12 m
    Tan B = T / b
    Tan 30° = 12 / b
    b = 12 / tan 30°
    b = 12 / 1/3 akar 3
    b = 12× 3 / akar 3
    b = (36/akar 3)(akar 3/akar 3)
    b = (36 akar 3) / 3
    b = (12 akar 3) m
    jarak A ke B = b - a
    = 12 akar 3 - 12
    = 12(akar 3 - 1) m (E)