A 6ft man stands next to a 100ft. tall building. the man's shadow is 8ft. long. How long is the building's shadow?
6/8 = 100/x
Cross multiply and solve for x.
133ft.
Yes -- or 133.33 feet
To find the length of the building's shadow, we can use a proportional relationship. The ratio of the man's height to his shadow is equal to the ratio of the building's height to its shadow.
Let's set up a proportion:
(Height of the man) / (Length of the man's shadow) = (Height of the building) / (Length of the building's shadow)
Substituting the given values:
6 ft / 8 ft = 100 ft / x
We can cross-multiply to solve for x:
6 ft * x = 8 ft * 100 ft
Dividing both sides by 6 ft:
x = (8 ft * 100 ft) / 6 ft
Now let's calculate the length of the building's shadow:
x = (800 ft) / 6 ft
x ≈ 133.33 ft
Therefore, the length of the building's shadow is approximately 133.33 feet.