Using the Empire State Building which scale factor would you use identify 2 significant items on your model and explain the calculations and dimensions you use to make these items similar to the actual items describe the specific mathematical skills you will need to create the design and give examples
To create a model of the Empire State Building, I would use a scale factor of 1 inch = 100 feet. This means that every inch on my model represents 100 feet of the actual building.
For example, if I wanted to recreate the iconic spire of the Empire State Building, which is approximately 203 feet tall, I would need to make my model spire 2.03 inches tall. This would be calculated by dividing 203 by 100 (scale factor) to get the inch measurement.
Another significant item on the Empire State Building is the observation deck, which is located on the 86th floor and is approximately 1,250 feet high. To recreate this on my model, I would make the observation deck 12.5 inches high, calculated by dividing 1250 by 100 (scale factor) to get the inch measurement.
To create this design, I would need to use the mathematical skills of proportions and scale factor calculations. For example, when determining the height of the spire and observation deck, I would set up proportions like:
1 inch / 100 feet = x inches / 203 feet
1 inch / 100 feet = y inches / 1250 feet
I would then solve for x and y to determine the correct height for each element on my model. Additionally, I would need to accurately measure and convert the dimensions of the actual Empire State Building into the appropriate inch measurements for my model, using the scale factor.