You are 64 inches tall and your shadow is 72 inches long. A tree casts a shadow of 144 inches. How tall is the tree?
height: shadow
64 : 72
x : 144
Direct proportion, using cross-multiplication.
x = 64*144/72 = 128"
Thank u
A woman is standing next to a tree. She is 64 inches tall and cast as shadow 24 inches long. The tree's shadow is 67.5 inches long. How tall is the tree?
To determine the height of the tree, we can use proportions.
First, let's set up a proportion using the information given.
The ratio of your height to your shadow is 64 inches to 72 inches.
Similarly, the ratio of the tree's height to its shadow is what we're trying to find, x inches to 144 inches.
So, our proportion will be:
(64 inches / 72 inches) = (x inches / 144 inches)
To solve for x (the height of the tree), we need to cross-multiply and then solve for x:
72 inches * x inches = 64 inches * 144 inches
x inches = (64 inches * 144 inches) / 72 inches
Now, let's calculate the value of x:
x inches = 9216 inches / 72 inches
x inches = 128 inches
Therefore, the height of the tree is 128 inches.