A tree casts a shadow 7.5 ft. long at the same time that a woman 5 ft. tall casts a shadow 3 ft. long. How tall is the tree?
5/3 = x/7.5
Cross multiply and solve for x.
To find the height of the tree, we can use a proportion.
Let's label the height of the tree as "h" and the length of the tree's shadow as "s".
We can set up the following proportion:
(tree height) / (tree shadow length) = (woman height) / (woman shadow length)
h / s = 5 ft / 3 ft
To solve for h, we need to cross-multiply and then divide:
h * 3 ft = 5 ft * s
3h = 5s
Finally, we can substitute the given values in the equation to find the height of the tree. We know that the length of the woman's shadow is 3 ft and the length of the tree's shadow is 7.5 ft.
3h = 5 * 7.5 ft
3h = 37.5 ft
h = 37.5 ft / 3
h ≈ 12.5 ft
Therefore, the tree is approximately 12.5 ft tall.