Question

50 POINTS!!

Answer 1

Answer:

1 ft

Step-by-step explanation:

From the diagram;

$\triangle ADE\sim \triangle ABC$

Therefore

$\frac{AB}{AD}=\frac{AC}{AE}$

Also, AB=8+2=10ft, AD=8ft, AE=4ft. We substitute to get:

$\frac{10}{8}=\frac{AC}{4}$

Simplify to get:

$AC = 5$

But AC=AE+EC

This implies that,

5=4+EC

EC=5-1

EC= 1 ft