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)Responses320 feet320 feet400 feet400 feet5 feet5 feet125 feet
Let the height of the office building be x feet.
Using the properties of similar triangles, we can set up the following proportion:
(Height of office building)/(Length of shadow of office building) = (Height of flagpole)/(Length of shadow of flagpole)
x/200 = 40/25
x = 200 * 40 / 25
x = 320
Therefore, the height of the office building is 320 feet.