Question

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

Answer 1

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