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

Answer 1

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.