a tree casts a shadow 36 ft long. at the same timem the shadow cast by a vertical 7 ft pole is 4ft long. find the hight of the tree
7/4 = X/36,
4x = 252,
X = 63 Tt. = ht. of tree.
To find the height of the tree, you can use the concept of similar triangles.
Let's call the height of the tree "h" feet.
According to the given information, the shadow cast by the tree is 36 ft long, and the shadow cast by the 7 ft pole is 4 ft long.
We can set up the following proportion of similar triangles:
(height of the tree) / (length of the tree's shadow) = (height of the pole) / (length of the pole's shadow)
h / 36 = 7 / 4
To solve for h, we can cross-multiply and then divide:
4h = 7 * 36
4h = 252
h = 252 / 4
h = 63
Therefore, the height of the tree is 63 feet.