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)
O 320 feet
125 feet
O 400 feet
5 feet
Let the height of the office building be represented by x feet. We can set up a proportion using the properties of similar triangles:
(40 / 25) = (x / 200)
Simplifying this proportion, we get:
1.6 = (x / 200)
To solve for x, we can multiply both sides of the equation by 200:
1.6 * 200 = x
Therefore, x = 320 feet.
So, the height of the office building is 320 feet. The answer is 320 feet.