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

5 feet
5 feet

400 feet
400 feet

320 feet
320 feet

125 feet

Answer 1

Given that the flagpole casts a 25-foot shadow and has a height of 40 feet, we can set up a proportion to find the height of the office building.

Let x be the height of the office building.

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

40 / 25 = x / 200

Solving for x, we get:

40 * 200 / 25 = x
x = 320 feet

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

Correct answer: 320 feet