A building shadow is 26 feet long and a street sign has a shadow of 6 feet.If the street sign is 8 feet tall,how tall is the building?

8 / 6 = b / 26

6/8= 26/x

3/4 = 26/x
3 x = 4 * 26
x = 104/3 = 34.7

Did you know?

Did you know that the height of a building can be calculated using the length of its shadow? Let's take the example of a building shadow that measures 26 feet, while a street sign casts a shadow of only 6 feet. If the street sign is 8 feet tall, we can use proportional reasoning to determine the height of the building. By setting up a proportion, where the length of the shadow is proportional to the height of an object, we can solve for the building's height. In this case, the proportion can be set up as follows: 6 feet (length of street sign shadow) is to 8 feet (height of street sign) as 26 feet (length of building shadow) is to X (height of the building). Solving this proportion, we find that the height of the building is approximately 34.67 feet. Isn't it fascinating how you can estimate the height of a tall structure just by analyzing its shadow?