A post 8 m tall casts a shadow of 11m A tall building nearby casts a shadow of 55 m how tall is the building
make a sketch and use a simple ratio:
h/55 = 8/11
solve for h
Well, if the post is 8m tall and casts a shadow of 11m, we can use a little math to figure out the height of the building. If we set up a proportion, it would look like this:
8m (post height) ---> 11m (post shadow)
x (building height) ---> 55m (building shadow)
To solve for x (the height of the building), we can use cross multiplication. So, 8 multiplied by 55 equals 440, and then we divide that by 11.
So, the hilarious answer is that the building is a whopping 40m tall! Don't forget to look up when you pass by, because that's one tall building!
To find the height of the building, we can use the concept of similar triangles.
We know that the ratio of the height of the post to its shadow is equal to the ratio of the height of the building to its shadow.
Let's set up the proportion:
Height of the post / Shadow of the post = Height of the building / Shadow of the building
8 m / 11 m = Height of the building / 55 m
Now, we can solve for the height of the building by cross-multiplying and then dividing:
8 m * 55 m = 11 m * Height of the building
440 m = 11 m * Height of the building
Height of the building = 440 m / 11 m
Height of the building = 40 m
Therefore, the building is 40 meters tall.
To find the height of the building, we can use the concept of similar triangles.
Let's label the height of the building as 'x'. According to the given information, the post with a height of 8m casts a shadow of 11m, while the building casting a shadow of 55m has an unknown height 'x'.
We can set up a proportion to solve for 'x':
(post height) / (post shadow) = (building height) / (building shadow)
Substituting the given values:
8m / 11m = x / 55m
To solve for 'x', we can cross-multiply:
8m * 55m = 11m * x
440m² = 11m * x
Dividing both sides by 11m:
40m = x
Therefore, the building is 40 meters tall.