A person who is 5 feet tall is standing at 110 feet from the base of the tree and the tree cast a shadow of 120 feet the person shadows 10 feet in length was the height of the tree?
To calculate the height of the tree, we can use similar triangles. Let's assume that the height of the tree is represented by "h". According to the given information, the person is 5 feet tall and their shadow is 10 feet long. The tree's shadow, on the other hand, is 120 feet long.
We can set up the following proportion:
(person's height) / (person's shadow) = (tree's height) / (tree's shadow)
Substituting the given values, we get:
5 / 10 = h / 120
To find the height of the tree, we can cross-multiply and solve for "h":
5 * 120 = 10 * h
600 = 10 * h
Dividing both sides by 10:
h = 600 / 10
h = 60
Therefore, the height of the tree is 60 feet.