Answer:
[tex]33\frac{1}{3}[/tex] ft
Step-by-step explanation:
Think about the ratio of shadow to actual height.
First, make a ratio table demonstrating the scale factor of the shadow to the height of the object:
height : shadow
6 ft : 4.5 ft
To get rid of the decimal, multiply by 10 on both sides:
60 ft : 45 ft
In order to get the shadow to 25 ft, multiply both sides by 25/45, which simplifies to 5/9:
height : shadow
6 ft : 4.5 ft
60 ft : 45 ft
*(5/9) : *(5/9)
33 1/3 ft : 25 ft
The answer is the height corresponding to the shadow length 25 ft in the table, in this case, [tex]33\frac{1}{3}[/tex].
