A man 6 1/2 feet tall casts a shadow that is 11 feet long . A building casts a shadow of 132 feet long. What is the height if the building?
6.5/11 = x/132
Cross multiply and solve for x.
85.80
I don't get it
6.5/11 = x/132
11x = 858
x = 78 feet
To find the height of the building, we can set up a proportion using the given information.
First, let's convert 6 1/2 feet into a decimal. Since there are 12 inches in a foot, we have 6.5 feet = 6 + 1/2 = 6.5 feet = 6 + 0.5 feet = 6 feet + 0.5 feet = 72 inches + 6 inches = 78 inches.
So, the man's height is 78 inches, and his shadow is 11 feet long.
Similarly, we can find the ratio of the building's height to its shadow. Let's call the height of the building "h."
Using the given information, we have the proportion:
man's height / man's shadow = building's height / building's shadow
78 inches / 11 feet = h inches / 132 feet
Now, let's convert the units so they match:
78 inches / 11 feet = (78 inches / 12 inches) / (11 feet / 12 inches) = 6.5 feet / (11 / 12) feet = 6.5 feet / 0.9167 feet ≈ 7.11 feet
Now, we can solve for the height of the building:
h inches = 7.11 feet * 132 feet
h inches ≈ 938.52 inches
Therefore, the height of the building is approximately 938.52 inches or 78.21 feet.