A tree is 11 feet tall and casts a shadow 8 feet long. A building nearby casts a shadow that is 22 feet long. How tall is the building? *

The proportion can be set up as follows:

Height of the tree / Length of the tree's shadow = Height of the building / Length of the building's shadow

Plugging in the values:

11 feet / 8 feet = Height of the building / 22 feet

Now we can solve for the height of the building by cross-multiplying:

8 * Height of the building = 11 * 22

Height of the building = (11 * 22) / 8

Height of the building = 242 / 8

Height of the building = 30.25 feet

Therefore, the building is approximately 30.25 feet tall.