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)

Question

400 feet
125 feet
320 feet
5 feet

Answer 1

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.