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 casts is 200 feet long?(1 point)
400 feet
125 feet
320 feet
5 feet
Let's set up a proportion using the properties of similar triangles.
Let x be the height of the office building. We can set up the proportion as follows:
$\frac{x}{200} = \frac{40}{25}$
Cross-multiplying, we get:
25x = 40 * 200
Dividing both sides by 25, we get:
x = 320
The height of the office building is 320 feet.
Therefore, the correct answer is 320 feet.