Answer:
36 feet
Step-by-step explanation:
This is a simple case of ratio and proportionality.
We can thing of it as "if x (height of building) casts a shadow of 24, then 6 casts a shadow of 4".
We can write this as:
[tex]\frac{x}{24}=\frac{6}{4}[/tex]
We cross multiply and solve for x (height of the building in feet):
[tex]\frac{x}{24}=\frac{6}{4}\\4x=6*24\\4x=144\\x=36[/tex]
The height of building is 36 feet
