Question 175662
Let x=height of flagpole


Let's convert everything to inches:


5 ft 4 in = 60 in + 4 in = 64 in


2 ft  = 24 in


8 ft 9 in = 96 in + 9 in = 105 in 



So we have the ratio



{{{64/24=x/105}}}



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{{{64/24=x/105}}} Start with the given ratio



{{{(64/24)*105=x}}} Multiply both sides by 105



{{{6720/24=x}}} Multiply



{{{280=x}}} Simplify




So our answer is  {{{x=280}}}



So the flagpole is 280 inches tall (which is 23 feet 4 inches)