You want to determine the height of your school. The building casts a 6 foot shadow at the same time you cast a 15 inch shadow. If you are 5 feet tall how tall is the building?

Well first let’s covert the ft to in- 5ft is 60 in and 6ft is 72 in. Then we want to set up 2 fractions based on height and shadow, so we have 60/15=x/72 (we put x because that’s what we’re trying to find). Then we do cross multiplication so now we have 15x=4320. We divide 15, so now we have 4320/15=288. So the building is 288 in tall or 24ft tall! Glad to help! :)

use ratio, remember to have same units

let the height of building be h ft
h/6 = 60/15
h = 6(60/15) = 24

the building is 24 ft high

Well, isn't that a tall order? Let's run some calculations, shall we?

First, we need to find the ratio between your height and your shadow. You are 5 feet tall, and your shadow is 15 inches. So, we can set up a ratio: 5 feet (or 60 inches) is to 15 inches.

Next, we need to use this ratio to find the height of the building. The building casts a 6-foot shadow, so we'll use our ratio to determine the height:

60 inches (your height) is to 15 inches (your shadow) as x inches (the building's height) is to 6 feet (the building's shadow).

We can set up a simple proportion: 60/15 = x/6.

Cross-multiplying gives us 60*6 = 15*x.

Finally, we can solve for x: 360 = 15x.

Dividing both sides by 15, we find x = 24.

So, the building is 24 feet tall. And that's no joke!

To determine the height of the building, we can use the concept of similar triangles.

First, let's label the given measurements. The length of the shadow cast by the building is 6 feet, and the length of the shadow cast by you is 15 inches.

Since we're working with two different units (feet and inches), let's convert the shadow lengths to a consistent unit. We can either convert everything to feet or inches. In this case, let's convert both to feet.

1 foot is equal to 12 inches. So, the length of your shadow is 15 inches / 12 = 1.25 feet.

Now we have the following measurements:
Length of the building's shadow: 6 feet
Length of your shadow: 1.25 feet
Your height: 5 feet

To solve for the height of the building, we can set up a proportion using the lengths of the shadows and the respective heights:
Building's height / Length of the building's shadow = Your height / Length of your shadow

Let's substitute the given values into the proportion:
Building's height / 6 feet = 5 feet / 1.25 feet

To solve for the building's height, we can cross multiply:
Building's height * 1.25 feet = 6 feet * 5 feet

Building's height * 1.25 feet = 30 feet

Now, solve for the building's height by dividing both sides by 1.25 feet:
Building's height = 30 feet / 1.25 feet

Building's height = 24 feet

Therefore, the height of the building is 24 feet.

none

Cross multiply and solve for x.

x/6 = 5/1.25