Question

A 168-cm tall person is 2 cm in Ming’s model. How high should his model swing be if the actual swing is 231 cm high?

Answer 1

The model swing should be 2.75 cm high.

Explanation:

Given:

A 168-cm tall person is 2 cm in Ming’s model.

If the actual swing is 231 cm high.

Now, to find how high should his model swing be.

Let the model swing be
`x\ cm.`

So, 168 cm tall person is equivalent to 2 cm.

Thus, 231 cm actual swing is equivalent to
`x\ cm` model swing.

Now, we get the height of the swing in the model by using cross multiplication method:

`(168)/(2) =(231)/(x)`

By cross multiplication:

⇒
`168x=462`

Dividing both sides by 168 we get:

⇒
`x=2.75\ cm.`

Therefore, the model swing should be 2.75 cm high.