A woman is standing next to a tree. She is 64 inches long. The tree’s shadow is 6.75 inches long. How tall is the tree?
tree_height/6.75 = 64/woman's_shadow
you still need one number to proceed
To determine the height of the tree, we can use a proportion based on the relationship between the woman's height and the length of her shadow.
First, let's set up the proportion using the given information:
Woman's height / Length of woman's shadow = Height of the tree / Length of the tree's shadow
Plugging in the known values:
64 inches / 6.75 inches = Height of the tree / Length of the tree's shadow
Now, let's solve the proportion algebraically to find the height of the tree. We can cross-multiply:
64 inches × Length of the tree's shadow = 6.75 inches × Height of the tree
Simplifying the equation:
64 inches × 6.75 inches = Height of the tree × Length of the tree's shadow
Now, we can divide both sides of the equation by the length of the tree's shadow:
(64 inches × 6.75 inches) / Length of the tree's shadow = Height of the tree
Calculating the expression:
432 inches / Length of the tree's shadow = Height of the tree
Since the length of the tree's shadow is given as 6.75 inches, we can substitute it into the equation:
432 inches / 6.75 inches = Height of the tree
Simplifying the division:
64 inches = Height of the tree
Therefore, the height of the tree is 64 inches.