A 5-foot tall women is standing near a flag pole which casts a shadow of 21 feet on level ground. If the women’s shadow is 3 feet long, how tall is the flag pole?

To solve this problem, we can use similar triangles and the concept of proportional sides.

Let's assume that the height of the flagpole is "x" feet.

According to the information provided, the woman's height is 5 feet, and her shadow is 3 feet long. The length of the flagpole's shadow is 21 feet.

Now, we can set up a proportion:

(Length of woman's shadow) / (Woman's height) = (Length of flagpole's shadow) / (Flagpole's height)

Using the given values, we have:

3 / 5 = 21 / x

To solve for x, we can cross-multiply:

3x = 21 * 5

3x = 105

Now, divide both sides of the equation by 3 to solve for x:

x = 105 / 3

x = 35

Therefore, the height of the flagpole is 35 feet.

To find the height of the flagpole, we can set up a proportion using the information given.

Let's call the height of the flagpole "x".

According to the given information, the woman's height is 5 feet and her shadow length is 3 feet. The flagpole's shadow length is 21 feet.

We can set up a proportion:
Height of the woman / Length of the woman's shadow = Height of the flagpole / Length of the flagpole's shadow

5 feet / 3 feet = x / 21 feet

Cross-multiplying, we get:
5 feet * 21 feet = 3 feet * x

105 feet = 3 feet * x

Now, we can solve for x by dividing both sides of the equation by 3 feet:
105 feet / 3 feet = x

Simplifying:
35 = x

Therefore, the height of the flagpole is 35 feet.

5/3 = x/21

3x = 105

x = 35 feet