Answer:
20 ft
Step-by-step explanation:
You want the height of a building that casts a 12 ft shadow when a 6 ft statue casts a 3.6 ft shadow.
Proportion
Shadow length is proportional to building height, so we can write ...
[tex]\dfrac{\text{height}}{\text{shadow}}=\dfrac{b}{12\text{ ft}}=\dfrac{6\text{ ft}}{3.6\text{ ft}}\\\\\\b=(12\text{ ft})\times\dfrac{6}{3.6}=20\text{ ft}[/tex]
The height of the building is 20 ft.
