Question

On a scale drawing with a scale of 1/64, the height of a building is 7.8 inches. How tall is the actual building?

I do not understand how to approach this question. The question does not specify the unit of measure when it says 'a scale of 1/64.' Any help is appreciated.

-ippp
Acc Math Student

Answer 1

`499.2 ft`

Explanation:

Given: scale `1/64`; Height of model `= 7.8 " in."`

The scale factor of `1/64` represents

`(1" in. model "= 64 " ft actual building")`

Set up a proportion: `x/7.8 = 64/1`

Use the cross product: `a/b = c/d; " "ad = bc`

`x = 7.8 * 64 = 499.2 ft`