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

Answer:

The actual height of the building is 8 feet.

Step-by-step 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

$\frac{5}{15} = \frac{32}{x}$

Cross multiplying, we get

5 times x = 15 times 32

5x = 480

Dividing both sides by 5, we get

$\frac{5x}{5} = \frac{480}{5}$

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 = $\frac{96}{12} = 8 feet$

Answer 2

Inches =15,feet =180