Answer:
The height of the tree is 20 feet.
Explanation:
You can use a proportion to find the height of the tree. Since you know the height of the woman and the length of her shadow, you can set up a proportion to find the height of the tree.
Let's call the height of the tree "H" and the length of its shadow "S." The proportion can be set up as follows:
(Height of Woman) / (Length of Woman's Shadow) = (Height of Tree) / (Length of Tree's Shadow)
Plugging in the values you have:
(5 feet) / (6 feet) = (H) / (24 feet)
Now, you can cross-multiply and solve for H:
5 * 24 = 6 * H
120 = 6H
To find H, divide both sides by 6:
H = 120 / 6
H = 20
So, the height of the tree is 20 feet.