8.82 feet

Let’s set up the ratio. We know that the actual length of the ship was 882 feet and we want to know how long the model will be. We also have a ratio of 1 model length to every 100 actual length. So we can write this as:

##”Model length”/”Ship length”=”1 Model length”/”100 actual length”##

And we can drop in some numbers (I’ll also put in the variable ##x## to represent the length of the ship model):

##x/882=1/100##

Let’s cross multiply to solve for x:

##100x=882##

##x=8.82## feet