In the diagram, a building cast a 35-ft shadow and a flagpole casts an 8-ft shadow. If the the flagpole is 18 ft tall, how tall is the building? Round the the nearest tenth.

[tex]\dfrac{\text{building shadow}}{\text{building height}}=\dfrac{\text{flagpole shadow}}{\text{flagpole height}}\\\\\\\dfrac{35}{\text{building height}}=\dfrac{8}{18}\\\\\\\dfrac{35\times 18}{8}=\text{building height}\\\\\\\dfrac{35\times 9}{4}=\text{building height}\\\\\\\dfrac{315}{4}=\text{building height}\\\\\\\boxed{78.75=\text{building height}}[/tex]

In the diagram, a building cast a 35-ft shadow and a flagpole casts an 8-ft shadow. If the the flagpole is 18 ft tall, how tall is the building? Round the the nearest tenth.​

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In the diagram, a building cast a 35-ft shadow and a flagpole casts an 8-ft shadow. If the the flagpole is 18 ft tall, how tall is the building? Round the the nearest tenth.