A 6.5 foot tall person casts a shadow that is 10 feet long. How tall is a building that casts a shadow that is 43 feet long?
Set up a proportion. Cross multiply and solve for x.
6.5/10 = x/43
To solve this problem, we can use a proportion. The proportion is setup by comparing the height of a person to the length of their shadow. We'll then use this proportion to find the height of the building.
Let's denote the height of the building as "x". We can set up the proportion as follows:
(person's height) / (person's shadow length) = (building's height) / (building's shadow length)
Plugging in the given values, we get:
6.5 feet / 10 feet = x / 43 feet
Now, we can cross-multiply and solve for x:
6.5 feet * 43 feet = 10 feet * x
280.5 square feet = 10 feet * x
To isolate x, we divide both sides by 10 feet:
280.5 square feet / 10 feet = x
28.05 feet = x
Therefore, the height of the building is approximately 28.05 feet.