an 80 foot flag pole casts a 30 foot shadow . find the height of the tree if its shadow is 9 feet
The ratio of actual height to shadow height will be the same for both. (Similar triangles are involved)
30/80 = 9/x
Solve for x
30x = 720
etc.
24
To find the height of the tree, we can use the concept of similar triangles.
Let's assume that the height of the tree is represented by 'x' feet.
According to the given information, the flagpole has a height of 80 feet and casts a 30-foot shadow.
Using the concept of similar triangles, we can set up a proportion:
Height of the flagpole / Shadow of the flagpole = Height of the tree / Shadow of the tree
80 / 30 = x / 9
Now, we can cross multiply:
80 * 9 = 30 * x
720 = 30x
To solve for x, divide both sides of the equation by 30:
720 / 30 = x
24 = x
Therefore, the height of the tree is 24 feet.
To find the height of the tree, we can set up a proportion using the flagpole's height, its shadow length, and the tree's shadow length.
Let's represent the height of the tree as x feet.
We can set up the proportion as follows:
(Flagpole height) / (Flagpole shadow length) = (Tree height) / (Tree shadow length)
Plugging in the given values:
80 feet / 30 feet = x feet / 9 feet
To solve for x, we can cross-multiply and then divide:
(80 feet * 9 feet) / 30 feet = x feet
(720 square feet) / 30 feet = x feet
24 feet = x
Therefore, the height of the tree is 24 feet.