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
125 feet
125 feet
400 feet
400 feet
5 feet
5 feet
320 feet
Let's set up a proportion using the lengths of the flagpole and its shadow, and the height of the office building and its shadow:
Flagpole height / Flagpole shadow length = Office building height / Office building shadow length
Plugging in the given values, we get:
40 / 25 = x / 200
Cross-multiplying, we get:
25x = 8000
Dividing both sides by 25, we find:
x = 320
Therefore, the height of the office building is 320 feet.