A TREE CASTS A SHADOW 12 FEET LONG. AT THE SAME TIME A VERTICAL ROD 8 FEET HIGH CASTS A SHADOW THAT IS 6 FEET LONG. HOW TALL IS THE TREE
x/12 = 8/6
Cross multiply and solve for x.
16
16
To determine the height of the tree, we can use a proportion.
Let's denote the height of the tree as "x".
According to the given information, the length of the tree's shadow is 12 feet, and the length of the vertical rod's shadow is 6 feet.
We can set up the proportion:
(height of the tree) / (length of the tree's shadow) = (height of the vertical rod) / (length of the rod's shadow)
x / 12 = 8 / 6
We can cross multiply:
6x = 8 * 12
6x = 96
To isolate x (the height of the tree), we divide both sides of the equation by 6:
x = 96 / 6
x = 16
Therefore, the height of the tree is 16 feet.