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A tree and a building stand side by side. The 5-foot tall tree cast a shadow of 12 feet. If the building is 80 feet tall, how long is it's shadow​

Respuesta :

Ashraf82

Answer:

The shadow of the building = 192 ft.

Step-by-step explanation:

∵ There is a proportional relation between the heights of the tree and the building and their shadows

∴ Height tree/height building = shadow tree/shadow building

[tex]\frac{5}{80}=\frac{12}{x}[/tex]

x = [tex]\frac{(80)(12)}{5}[/tex]= 192 ft ⇒ x is the length of the shadow of the building

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