A six ft tall tent standing next to a cardboard box cast a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?
6/9 = x/6
Cross multiply and solve for x.
To find the height of the cardboard box, we need to use proportions. Let's denote the height of the cardboard box as 'x'.
From the given information, we have the following ratios:
Height of the tent : Length of its shadow = Height of the cardboard box : Length of its shadow
So, we can set up the proportion as follows:
6 ft : 9 ft = x ft : 6 ft
To solve for x, we can cross-multiply and solve for x:
6 ft * 6 ft = 9 ft * x ft
36 ft² = 9 ft * x ft
Dividing both sides of the equation by 9 ft:
36 ft² / 9 ft = x ft
The feet unit cancels out, giving us:
4 ft = x
Therefore, the cardboard box is 4 ft tall.