Question

A model of a skyscraper was made by an architect. the model was 15 inches high. if the architect used a scale of 2 inches representing 160 feet what would be the actual height of the building

Answer 1

The actual height of the building is 1200 feet.

Step-by-step explanation:

To find the actual height of the building, we can set up a proportion using the given scale. The ratio between the scale model height and the actual height is equal to the ratio between the representation on the scale and the actual measurement. In this case, the scale is 2 inches representing 160 feet, and the scale model height is 15 inches. We can set up the proportion as follows:

2 inches / 160 feet = 15 inches / x feet

Now we can solve for x by cross multiplying:

2x = 15 * 160

2x = 2400

x = 1200

The actual height of the building is 1200 feet.

Answer 2

One inch is equal to 80 feet if you divide 160 by two.
Than multiply 80 times 15 which comes out to be 1200.