Answer:
The height of the model should be 36 cm
Step-by-step explanation:
The ratio given by the scale "2 cm : 1.5 m", is what we need to use to write a proportion and solve for the unknown height "h". This means that 2 cm is to 1.5 meters, as "h" cm is to 27 meters, which can be written in math form with the following proportion, and solved for the unknown:
[tex]\frac{2\,cm}{1.5\,m} =\frac{h}{27\,m} \\\frac{2\,*\,27}{1.5} \,cm\\h= 36\,cm[/tex]
