Yep, this one seems sneaky and confusing. But it's not so bad if you remember the things you learned about parallel lines. (It can't be too tough ... I learned them in 1954 and I still know how to use them.)
Look at the picture. Line ' l ' is parallel to line ' m ', and the horizontal line on the bottom (which is not labeled) is a transversal that cuts the parallel lines.
Did you learn that interior angles on the same side of the transversal are equal ? I'm sure you did, although it may have a new name nowadays.
Anyway, with the help of that 'tool', angle-'B' and angle-'D' are equal. So . . .
(angle-A + angle-B) = 120
angle-B = 65
angle-A = 120 - 65 = 55 degrees .
To solve for angles created by parallel lines and a transversal, remember that certain angles are equal or supplementary. If given one angle, you can determine the others using these relationships. This involves applying the concepts of corresponding, alternate interior, and supplementary angles accordingly.
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Jawaban:soal:Berdasarkan gambar dan informasi yang diberikan, selesaikan soal-soal berikut:4. Hitung komponen vertikal dan horizontal vektor F1.5. Tentukan besar vektor F2 + F3 dengan menggunakan rumus kosinus.6. Tentukan resultan ketiga vektor tersebut. caranya:Diketahui:- F2 = 10 N- F3 = 10 N- F1 = 2 * 10 N = 20 N- Sudut antara F1 dan sumbu y adalah 60° 4. Komponen Vektor F1:- Komponen vertikal (Fy) = F1 * cos(60°) = 20 N * 0.5 = 10 N- Komponen horizontal (Fx) = F1 * sin(60°) = 20 N * 0.866 = 17.32 N5. Besar Vektor F2 + F3:- Karena F2 dan F3 memiliki arah yang berlawanan (F2 ke atas, F3 ke kiri), kita perlu mencari resultannya.- Karena F2 dan F3 tegak lurus, maka resultan F23 (F2 + F3) dapat dihitung dengan rumus Pythagoras:- F23 = √(F2² + F3²) = √(10² + 10²) = √(100 + 100) = √200 = 10√2 N ≈ 14.14 N6. Resultan Ketiga Vektor:- Pertama, kita hitung resultan vektor pada sumbu x dan sumbu y.- Pada sumbu x: Resultan = Fx (dari F1) - F3 = 17.32 N - 10 N = 7.32 N- Pada sumbu y: Resultan = Fy (dari F1) - F2 = 10 N - 10 N = 0 N- Maka, resultan total (F) dari ketiga vektor adalah:- F = √(Resultan_x² + Resultan_y²) = √(7.32² + 0²) = 7.32 N maka:- Komponen vertikal F1 = 10 N- Komponen horizontal F1 = 17.32 N- Besar F2 + F3 = 14.14 N- Resultan ketiga vektor = 7.32 N