The distance between the flagpole and the building is the number of feet between them
The building is 162 feet from the flagpole
The given parameters are:
The flagpole's shadow is 50% longer than the flagpole.
So, the length (l) of the flagpole's shadow is:
[tex]l = 40 * (1 + 50\%)[/tex]
[tex]l = 60[/tex]
The length of the building's shadow (d) is then calculated as:
[tex]60 : 40 =d : 324[/tex]
Express as fraction
[tex]\frac{60}{40}= \frac{d}{324}[/tex]
[tex]1.50 = \frac{d}{324}[/tex]
Solve for d
[tex]d = 1.50 * 324[/tex]
[tex]d = 486[/tex]
The distance (x) of the building from the flagpole is then calculated as:
[tex]x = 486 - 324[/tex]
[tex]x = 162[/tex]
Hence, the building is 162 feet from the flagpole
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