Question

A model plane was designed using a scale factor of 1:48. If the wingspan of the model is 18 inches, what is wingspan of the plane in feet?

Answer 1

The wingspan of the plane in feet is 72 feet .

Explanation:

Let us assume that the wingspan of the plane be u .

As given

A model plane was designed using a scale factor of 1:48.

If the wingspan of the model is 18 inches.

Thus the proportion equation becomes

`(wingspan\ of\ the\ model)/( wingspan of the plane) = (1)/(48)`

Putting the values in the above

`(18)/(x) = (1)/(48)`

Simplify the above

`x = 18* 48`

x = 864 inches .

As

`1\ inche = (1)/(12)\ feet`

Now convert 864 inches into feet .

`864\ inche = (864)/(12)\ feet`

= 72 feet

Therefore the wingspan of the plane in feet is 72 feet .