Set up and Label the proportion
Answer and round your answer to the nearest whole number.
A 6 ft tall tent standing next to a cardboard box casts 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 or 6:9::x:6
Either way, solve for x.
6 feet tall
To set up and label the proportion, we can use the following information:
Let "x" represent the height of the cardboard box.
Height of the tent = 6 ft
Length of the tent's shadow = 9 ft
Height of the cardboard box = x ft
Length of the cardboard box's shadow = 6 ft
Now we can set up the proportion using these values:
(Height of the tent) / (Length of the tent's shadow) = (Height of the cardboard box) / (Length of the cardboard box's shadow)
6 ft / 9 ft = x ft / 6 ft
To find the value of "x," we can cross-multiply and solve for it:
6 ft * 6 ft = 9 ft * x ft
36 ft^2 = 9 ft * x ft
Now, we can divide both sides of the equation by 9 ft to isolate "x":
36 ft^2 / 9 ft = x ft
4 ft^2 = x ft
Since we are asked to round the answer to the nearest whole number, we would round x to the nearest whole number. In this case, x = 4 ft.
Therefore, the height of the cardboard box is approximately 4 ft.