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

Answer:

The model swing should be 2.75 cm high.

Step-by-step 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:

$\frac{168}{2} =\frac{231}{x}$

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.