A flagpole casts a shadow of 23.5 feet long.at the same time of day, Ana, who is 5.5 feet tall, casts a shadow that is 7.5 feet long. How tall in feet is the flagpole?

17.23333333333333333...

5.5/7.5 = x/23.5

Cross multiply and solve for x.

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5.5

7.5 ​ = ​
h
23.5
7.5h = 129.25
h = 17.2
3
The flagpole is 17.2 feet long.

To find the height of the flagpole, we can use a proportion by comparing the lengths of the flagpole's shadow and Ana's shadow.

Let's denote the height of the flagpole as "x" feet.
According to the information given, the length of the flagpole's shadow is 23.5 feet, and Ana's height is 5.5 feet, with a shadow length of 7.5 feet.

Using the proportion:

(flagpole height) / (flagpole shadow length) = (Ana's height) / (Ana's shadow length)

we can substitute in the given values:

x / 23.5 = 5.5 / 7.5

Now, we can solve for x by cross-multiplying:

7.5x = 23.5 * 5.5

7.5x = 129.25

Dividing both sides by 7.5:

x = 129.25 / 7.5

x ≈ 17.23

Therefore, the height of the flagpole is approximately 17.23 feet.