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)
Responses
5 feet
5 feet
400 feet
400 feet
320 feet
320 feet
125 feet
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