A video game designer is modeling a tower that is 320 ft high and 260ft wide. She creates a model so that the similarity ratio of the model to the tower is 1/500. What is the height and width if the model in inches

H = Tower Height = 320

W = Tower Width = 260

h = Model Height

w = Model Width

h = (1/500) * H = (1/500) * 320 =.64 feet

w = (1/500) * W = (1/500) * 260 =.52 feet

Now, we need to convert these measurements to inches.

There are 12 inches per foot.

Let x = height in inches and y = width in inches

The ratio below compares feet to inches

x / h = 12 in / 1 ft

y / w = 12 in / 1 ft

Plug in h and w, cross multiply, and solve for x and y, respectively.

x /.64 = 12 / 1

1 * x =.64 * 12

x = 7.68 in

y /.52 = 12 in / 1 ft

1 * y =.52 * 12

y = 6.24 in