solve the following problem using the properties of similar triangle, a 40-foot flagpole outside an office building casts a 25-foot what is the height of the office building if the shadow it casts is 200 ft long?
5ft
125ft
400ft
or 320ft
We can set up a proportion using the properties of similar triangles. Let's label the height of the office building as "h".
According to the given information, the height of the flagpole is 40 feet and its shadow is 25 feet.
Using the proportion: height of flagpole / shadow of flagpole = height of office building / shadow of office building
Thus, we have 40/25 = h/200
To solve for "h", we can cross multiply:
25h = 40 * 200
25h = 8000
h = 8000/25
h = 320
Therefore, the height of the office building is 320 feet.
The correct answer is 320 ft.