Question

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?
(Hint: Draw a picture and Set up a proportion)

Answer 1

The ratio between the tree and shadow is 12:9, which can be simplified to 4:3. as we now have a shadow of a building, we can use to ratio and scale it up to find how tall the building is.

4:3
?:24
how many times does 3 go into 24? it goes 8 times, so we multiple the 4 by 8 to get 32
32:24