Question

the height of scale model building is 15 in. the scale is 5 in. to 32 i. find the height of the actual building in inches and in feet

Answer 1

inches =15,feet =180

Answer 2

The actual height of the building is 8 feet.

Explanation:

The height of the scale model building is 15 inches.

Scale:

5 in = 32 in actual.

We can use the proportion.

Let "x" the actual height of the building.

Scale Actual

5 32

15 x

`(5)/(15) = (32)/(x)`

Cross multiplying, we get

5 times x = 15 times 32

5x = 480

Dividing both sides by 5, we get

`(5x)/(5) = (480)/(5)`

x = 96 inches

Now we have to convert inches to feet

1 feet = 12 inches

To convert inches to feet, we need to divide 96 by 12

So, the height of the building is =
`(96)/(12) = 8 feet`