Respuesta :
Answer:
Height of Building is 34.3 ft
Step-by-step explanation:
Given Length of shadow of building = 20 ft
Length of shadow of flagpost = 7 ft
Height of flagpole = 12 ft
Let, height of building is x
This problem is of Direct proportion,
As when if height of object increases then length of shadow also increases at same time.
We use the result,
[tex]\frac{x_1}{x_2}=\frac{y_1}{y_2}[/tex]
[tex]\frac{x}{20}=\frac{12}{7}[/tex]
[tex]x=\frac{12}{7}\times20[/tex]
[tex]x=\frac{240}{7}[/tex]
[tex]x=34.2857143[/tex]
[tex]x=34.3[/tex]
therefore, Height of Building is 34.3 ft
