a tree casts a shadow of 34
feet at time when a 3-foot tall child casts a
shadow of 1.7feet. What is the height of the
tree?
To find the height of the tree, we can set up a proportion using the shadow lengths of the tree and the child.
Let's define the height of the tree as "H" (in feet) and the length of the child's shadow as "S" (in feet). We are given that the child's height is 3 feet and its shadow length is 1.7 feet, and the tree's shadow length is 34 feet.
The proportion can be set up as follows:
H / S = 3 / 1.7
To solve for H, we need to cross multiply and solve the resulting equation.
H * 1.7 = 3 * S
H = (3 * S) / 1.7
Now, we can substitute the known values into the equation to find the height of the tree.
H = (3 * 34) / 1.7
H = 102 / 1.7
H = 60
Therefore, the height of the tree is 60 feet.
since height/shadow ratio is the same for both,
h/34 = 3/1.7
Now just solve for h.