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

Responses

320 feet
320 feet

400 feet
400 feet

5 feet
5 feet

125 feet

Answer 1

Let x be the height of the office building.

According to the properties of similar triangles, we can set up the following proportion:

\(\frac{40}{25} = \frac{x}{200}\)

Cross-multiplying, we have:

\(25x = 40 \times 200\)

Simplifying:

\(25x = 8000\)

Dividing both sides by 25:

\(x = \frac{8000}{25} = 320\)

Therefore, the height of the office building is 320 feet.