SOLUTION: Gina is 5 ft 4 tall and has a shadow of 2ft. The flagpole has a shadow of 8 ft 9 in. What is the height of the flagpole?

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Question 175662: Gina is 5 ft 4 tall and has a shadow of 2ft. The flagpole has a shadow of 8 ft 9 in. What is the height of the flagpole?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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%2F24=x%2F105


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64%2F24=x%2F105 Start with the given ratio


%2864%2F24%29%2A105=x Multiply both sides by 105


6720%2F24=x Multiply


280=x Simplify



So our answer is x=280


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