The scale model of a building is 5.4 feet tall. If the original building is 810 meters tall, what was the scale used to make the model?
Convert meters into feet and divide by 5.4 feet
To find the scale used to make the model, we can set up a proportion by comparing the height of the model to the height of the original building.
Let's assume the scale used to make the model is represented by "x". The proportion can be set up as:
Model Height / Original Height = Model Scale / 1
The model height is given as 5.4 feet, and the original height is given as 810 meters. We need to convert the units to be consistent, so let's convert 810 meters to feet by multiplying it by a conversion factor:
1 meter = 3.28084 feet
So, 810 meters * 3.28084 = 2657.22024 feet (rounded to five decimal places).
Now we can substitute the values into the proportion:
5.4 feet / 2657.22024 feet = x / 1
To find x, we can cross multiply:
5.4 feet * 1 = 2657.22024 feet * x
5.4 = 2657.22024x
Finally, divide both sides of the equation by 2657.22024 to solve for x:
x = 5.4 / 2657.22024
Using a calculator, the value of x is approximately 0.002034.
Therefore, the scale used to make the model is approximately 0.002034.