The height of a flagpole is 30 feet. It casts a 13-foot shadow. A woman standing next to the flagpole casts a 2-foot shadow. How tall is the woman? Round your numerical answer to the nearest tenth.

Respuesta :

Answer:

The woman would be about 4.6 feet tall.

Step-by-step explanation:

I think we should set up a ratio to solve. We should find the relationship between the actual height and the shadow height.

We know that the height of the flagpole is 30 feet, and the shadow height is 13 feet. We know the woman's shadow height is 2 feet, and we want to find the woman's actual height. Let's solve!

[tex]\frac{30ft}{13ft}[/tex] = [tex]\frac{x}{2}[/tex]

Now that we have set that up, we can cross multiply to get x.

30 * 2 = 13 * x

60 = 13x

To get x alone divide by 13 on both sides.

X ≈ 4.6

So I think the woman would be about 4.6 feet tall.

Very short woman, lol.

Hope this helps, please mark brainliest if possible.

Have a nice day. :)