To find the height of the tree, we can use similar triangles since angles of elevation of Scott and the tree are the same.
Let's set up a proportion:
Height of Scott / Length of Scott's shadow = Height of tree / Length of tree's shadow
6 / 8 = x / (x + 5)
Cross multiply:
6(x + 5) = 8x
6x + 30 = 8x
30 = 2x
x = 15
Therefore, the tree is 15 feet tall.
To find the length of the tree's shadow:
Length of tree's shadow = x + 5
Length of tree's shadow = 15 + 5
Length of tree's shadow = 20 feet
Thus, the tree's shadow is 20 feet long.
Scott is 6 feet tall and casts a shadow that is 8 feet long. A nearby tree is x feet tall and cast a show that is x+5 feet long.
How tall is the tree?
How long is the trees shadow?
3 answers
What is the height of the tree?
The height of the tree is 15 feet tall.
3 answers