It is given in the question that
A building casts a shadow 48 ft long. At the same time, a 40 ft tall flagpole casts a shadow 9.6 ft long.
Let the height of the building is h ft .
Now we take ratios and solve for h. That is
[tex]\frac{h}{48} = \frac{40}{9.6}[/tex]
Performing cross multiplication,
[tex]9.6h = 40*48[/tex]
Dividing both sides by 9.6
[tex]h = \frac{40*48}{9.6} = 200ft[/tex]
Therefore the height of the building is 200 ft .
