A flagpole casts a shadow 30 feet long. A 5 foot woman standing next to the flagpole casts a shadow 6 feet long. How tall is the flagpole?

Cross multiply and solve for x.

5/6 = x/30

30 Actually it is 25. Boom

It is 25, Anonymous was right

To find the height of the flagpole, we can set up a proportion using the lengths of the shadows and heights of the objects.

Let's say h represents the height of the flagpole.

According to the given information:
The length of the shadow of the flagpole is 30 feet.
The length of the shadow of the woman is 6 feet.

We can set up the proportion:

(height of flagpole / length of flagpole's shadow) = (height of woman / length of woman's shadow)

(h / 30) = (5 / 6)

To solve this proportion, we can cross-multiply:

6h = 5 * 30

6h = 150

Dividing both sides of the equation by 6, we get:

h = 150 / 6

h = 25

Therefore, the height of the flagpole is 25 feet.