A pole 12 feet tall casts a shadow 9 feet long. How tall is a tree that casts a shadow 54 feet long?
12/9 = x/54
Cross multiply and solve for x.
648 = 9x
÷9 ÷9
72 = X
Right.
Thank you
You're welcome.
To determine the height of the tree that casts a shadow 54 feet long, you can use a proportion equation.
Let's set up the proportion:
Height of the pole / Length of the pole's shadow = Height of the tree / Length of the tree's shadow
Using the given information:
Height of the pole = 12 feet
Length of the pole's shadow = 9 feet
Length of the tree's shadow = 54 feet (given)
Now, substitute the values into the proportion equation and solve for the unknown height of the tree:
12 feet / 9 feet = Height of the tree / 54 feet
To solve for the unknown height, we can cross-multiply:
9 * Height of the tree = 12 * 54
Now, solve for the unknown height by dividing both sides of the equation by 9:
Height of the tree = (12 * 54) / 9
Height of the tree = 72 feet
Therefore, the tree is 72 feet tall.