A building cast a shadow 48 feet long at the same time a 40 foot tall flag pole cast a shadow 9.6 feet long what is the hight of the building
Use this proportion. Cross multiply and solve for x.
x/48 = 40/9.6
X-200
To find the height of the building, we can set up a proportion using the similar triangles formed by the flagpole and its shadow, as well as the building and its shadow.
Let's label the height of the building as "h".
The proportion we can set up is:
(height of building) / (length of building's shadow) = (height of flagpole) / (length of flagpole's shadow)
In this case, the height of the flagpole is 40 feet and the length of its shadow is 9.6 feet.
So, the proportion becomes:
h / 48 = 40 / 9.6
To isolate "h," we can cross-multiply and solve for it.
9.6 * h = 48 * 40
9.6h = 1920
Divide both sides of the equation by 9.6:
h = 200
Therefore, the height of the building is 200 feet.