Solve the following problem using the properties of similar triangles. A 40-foot flagpole outside an office building casts a 25-foot shadow. What is the height of the office building if the shadow it cast is 200 feet long?
Let h be the height of the office building.
We have the proportion (h/40) = (200/25).
Cross multiplying, we get 25h = 8000
Dividing both sides by 25, we get h = 320 feet.
Therefore, the height of the office building is 320 feet.