Using the concept of similar triangles, we can set up a proportion to find the height of the tree.
Let h be the height of the tree.
According to the given information:
Height of Jacob = 5 feet
Length of Jacob's shadow = 4.5 feet
Length of tree's shadow = 27 feet
So, the proportion can be set up as:
5/h = 4.5/27
Cross multiplying, we get:
5 * 27 = 4.5 * h
135 = 4.5h
h = 135 / 4.5
h = 30
Therefore, the height of the tree is 30 feet.
The tree in Jacob's yard casts a shadow that is 27
feet long.
Jacob is 5
feet tall and casts a shadow that is 4.5
feet long.
The two triangles formed are similar because the angle to the sun is the same.
What is the height of the tree?
1 answer