Respuesta :

mhanifa

Answer:

  • ≈ 41.2°

Step-by-step explanation:

Given ΔABD with:

  • AC⊥BD
  • BC = 6 cm
  • BD = 22 cm
  • Area(ABC) = 42 cm²
  • Find ∠D = x

Consider ΔABC

  • Area = 1/2BC*AC
  • 42 = 1/2*6*AC
  • AC = 42/3 = 14

Consider ΔACD

  • CD = BD - BC = 22 - 6 = 16 cm
  • AC = 14 cm
  • tan x = AC/CD
  • tan x = 14/16 = 0.875
  • x = arctan 0.875
  • x ≈ 41.2°

Answer:

≈ 41.2°

Step-by-step explanation: