Respuesta :

mhanifa

Answer:

  • C. [tex]4\sqrt{5}[/tex] feet

Step-by-step explanation:

We have similar triangles:

  • ΔADC ~ ΔBEC

Find segment BC using similarity and ratios:

  • AD/ BE = AC / BC
  • 28 / 8 = (10 + BC)/ BC
  • 28BC = 8(10 + BC)
  • 28BC = 8BC + 80
  • 20BC = 80
  • BC = 4

Find EC using Pythagorean:

  • [tex]EC = \sqrt{BE^2+BC^2}=\sqrt{8^2+4^2}=\sqrt{64+16}=\sqrt{80}=4\sqrt{5}[/tex]

Correct choice is C

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