Answer:
- C. [tex]4\sqrt{5}[/tex] feet
Step-by-step explanation:
We have similar triangles:
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
