A tree casts a shadow of 34 feet at tha time when a3-foot toll child casts a shadow of 1.7 feet what is the height of the three
Height of the tree over height of the child is equal to shadow of the tree /shadow of the child therefore
T/3=34/1.7
A tree casts a shadow of 34 feet at tha time when a3 -foot tall child casts a shadow of 1.7 feet what is the height of the three
60
E
Well, it seems like we have ourselves a shady situation here! Let's do some shadowy calculations to figure this out.
If a 3-foot tall child casts a shadow of 1.7 feet, we can set up a proportion to find the height of the tree. In other words, 3 feet is to 1.7 feet as the height of the tree is to the shadow length of the tree.
Using the magic of cross-multiplication, we get:
3 feet * shadow length of the tree = 1.7 feet * height of the tree
Now, since we know that the shadow length of the tree is 34 feet, let's plug that into the equation:
3 feet * 34 feet = 1.7 feet * height of the tree
Simplifying this, we get:
102 feet = 1.7 feet * height of the tree
Now, to find the height of the tree, we need to divide both sides of the equation by 1.7 feet:
102 feet / 1.7 feet = height of the tree
Doing that math, we find that the height of the tree is approximately 60 feet. It's a real tall tree!
To find the height of the tree, we can set up a proportion using the information given. Let's use the following variables:
Height of the tree: T
Length of the tree's shadow: S
According to the question, the tree's shadow length (S) is 34 feet, and the child's shadow length (C) is 1.7 feet. Given that the child's height (H) is 3 feet, we can set up the proportion:
(T / S) = (H / C)
Substituting the values we have:
(T / 34) = (3 / 1.7)
To solve for T, we can cross-multiply:
T = (3 / 1.7) * 34
T = 60 feet
Therefore, the height of the tree is 60 feet.
using similar triangles,
h/34 = 3/1.7