A model of the Cape Hatteras Lighthouse uses a scale of 8 inches 30 feet. If the actual lighthouse is 210 feet tall, how tall is the model?

1 Answer
May 27, 2017

Answer:

The scale model is #56 " inches"# tall.

Explanation:

Strategy: Use the fact that #8# inches = #30# feet as a conversion factor to scale #210# foot tower to scale model size.

Step 1. Conversion factor.

#8 " inches"=30" feet"# can be turned into a conversion factor in one of two ways:

#(8" inches")/(30" feet")# or #(30" feet")/(8" inches")#

Step 2. Scale the #210# feet by the conversion factor which cancels feet and keeps inches.

#210cancel(" feet")xx(8" inches")/(30cancel(" feet"))=56" inches"#