Answer: Height of building = 11.5 feet.
Explanation:
Since we have given that
Height of flagpole = 30 foot
Length of shadow of flagpole = 52 foot
According to question, if a building is built 32 feet away,
Length of shadow of building will be
[tex]52-32=20\ foot[/tex]
Let height of building be h.
Now, we know that there is direct variation, so it becomes
[tex]\frac{30}{52}=\frac{h}{20}\\\\30\times 20=52\times h\\\\\frac{600}{32}=h\\\\h=11.5\ feet[/tex]
Hence, height of building = 11.5 feet.
