Question

The height of a scale model building is 15 in. The scale is 5 in. to 32 in. Find the height of the actual building in inches and in feet.

Answer 1

The height of the actual building is 96 inches or 8 feet.

Step-by-step explanation:

To find the height of the actual building, we can use the scale factor given in the question.

Scale: 5 in. to 32 in.

Height of the scale model: 15 in.

Let x represent the height of the actual building.

We can set up the proportion:

5 in. / 32 in. = 15 in. / x

Cross multiply:

5x = 480

Divide both sides by 5:

x = 96

The height of the actual building is 96 inches.

To find the height in feet, we divide 96 inches by 12:

96 in. / 12 = 8 ft.

The height of the actual building is 96 inches or 8 feet.

Answer 2

Let the height of the building be x, then 5/32 = 15/h
h = (32 x 15)/5 = 96 inches
h = 96 inches = 96/12 = 8 feet

therefore, h = 96 inches
h = 8 feet.