Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 315 inches and the scale factor is 1:90?

Nov 14, 2016

The model tree will be $3.5$ inches high.

Explanation:

You can use direct proportion for this as the model and the real tree represent similar figures with their dimensions being in the same ratio as the scale given.

$\text{model"/"real tree} = \frac{1}{90} = \frac{x}{315}$

$x = \frac{315}{90}$

$x = 3.5$ inches