SOLUTION: A triangle is formed by the​ building's height and shadow. Another triangle is formed by the​ flagpole's height and shadow. Using the following​ diagram, find the height of

Algebra ->  Test -> SOLUTION: A triangle is formed by the​ building's height and shadow. Another triangle is formed by the​ flagpole's height and shadow. Using the following​ diagram, find the height of      Log On


   



Question 1171925: A triangle is formed by the​ building's height and shadow. Another triangle is formed by the​ flagpole's height and shadow. Using the following​ diagram, find the height of the building.
The building has a height of x and a shadow of 45 feet. The flagpole has a height of 40 feet and a shadow of 5 feet.
45ft.
5ft.
40ft.
The height of the building is _________ feet.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x/45=40/5, similar triangles (draw this)
x=360 feet height of building, 8 times the length of its shadow.
-also
shadow is 9 times longer for the building, so height needs to be 9 times more than the flagpole, or 360 ft.