Answer:
D) 45 ft
Step-by-step explanation:
The two triangles are shown below.
Given:
BC = 60 ft, CD = 24 ft and DE = 18 ft.
Since, the two triangles are similar, their corresponding sides are in proportion.
So, [tex]\frac{AB}{DE}=\frac{BC}{CD}=\frac{AC}{CE}[/tex]
Now, consider the proportion of sides,
[tex]\frac{AB}{DE}=\frac{BC}{CD}\\AB=\frac{BC}{CD}\times DE\\AB=\frac{60}{24}\times 18\\AB=\frac{60\times 18}{24}=45\ ft[/tex]
Therefore, the distance between A and B is 45 ft.
