isaac is landscaping a yard , to see how well a tree shades are area of the yard. He needs to know the trees height . The trees shadow is 18 feet long at the same time isaacs shadow is 4 feet long if isaacs is 6 feet tall how tall is the tree
Cross multiply and solve for x.
4/6 = 18/x
To find out the height of the tree, we can set up a proportion using the measurements provided.
Let's define:
T = Height of the tree
S = Length of the tree's shadow
I = Height of Isaac
i = Length of Isaac's shadow
We are given:
S (tree's shadow) = 18 feet
I (Isaac's height) = 6 feet
i (Isaac's shadow) = 4 feet
Using similar triangles, we can set up the following proportion:
T/S = I/i
Substituting the given values, we have:
T/18 = 6/4
Now, we can cross-multiply and solve for T:
4T = 6 * 18
4T = 108
Dividing both sides by 4:
T = 108/4
T = 27
Therefore, the tree is 27 feet tall.