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
h/36 = 7/4
so
h = 36(7/4)
To find the height of the tree, you can set up a proportion using the lengths of the shadows.
Let's call the height of the tree 'x'. Since the shadow cast by the tree is 36 ft long and the shadow cast by the pole is 4 ft long, we can set up the following proportion:
Height of the tree / Length of the tree's shadow = Height of the pole / Length of the pole's shadow
x / 36 = 7 / 4
To solve the proportion, you can cross-multiply. Multiply the height of the tree (x) by the length of the pole's shadow (4) and the height of the pole (7) by the length of the tree's shadow (36).
4x = 7 * 36
Simplify the equation:
4x = 252
Now, divide both sides of the equation by 4 to solve for 'x':
x = 252 / 4
x = 63
Therefore, the height of the tree is 63 feet.