Cross multiply and solve for x.
x/6 = 5/1.25
x/6 = 5/1.25
let the height of building be h ft
h/6 = 60/15
h = 6(60/15) = 24
the building is 24 ft high
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!
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.