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maggielee724

Answer:

(a) 6.01 (b) 57.33

Step-by-step explanation:

(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)

=> DF² = 244 - 240 · cos(30°)

=> DF² = 36.154

=> DF = √36.154

=> DF ≈ 6.01

(b) [tex]\frac{12.8}{sin(63)} = \frac{12.4}{sin (B)}[/tex]

=> sin (B) = sin (63) × 12.4 ÷ 12.8

=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)

=> B = 59.67355245

180 - 63 - 59.67355245 ≈ 57.33

Law of cosines & sines:

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