Question

Please answer question attatched thanks :)

Answer 1

(a) 6.01 (b) 57.33

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)
`(12.8)/(sin(63)) = (12.4)/(sin (B))`

=> 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: