set up and label the proportion
A 6 ft tall ten 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
Solve for x.
Help!!! Idk
is 1/4 or 10/17.5 a proportion or not a proportion.
To set up and label the proportion, we can use the concept of similar triangles. The ratio of the corresponding sides of similar triangles is equal.
Let's label the height of the cardboard box as 'x' ft.
Using the given information, we have the following proportions:
(Height of the person) / (Length of person's shadow) = (Height of the cardboard box) / (Length of the cardboard box's shadow)
6 ft / 9 ft = x ft / 6 ft
Now, you can solve this proportion to find the value of 'x', which represents the height of the cardboard box. Cross-multiplying, we get:
6 ft * x ft = 9 ft * 6 ft
Simplifying the equation:
6x = 54
Dividing both sides by 6, we find:
x = 9
Therefore, the height of the cardboard box is 9 ft.