a shadow of 34 feet at the time when a3-foot tall child casts a shadow of 1.7 feet. what is the height of the tree
a shadow of 34 feet at the time when a3-foot tall child casts a shadow of 1.7 feet. what is the height of the tree
To find the height of the tree, we can set up a proportion between the height of the tree and the length of its shadow.
Let H be the height of the tree in feet.
The proportion can be set up as:
H / 34 = 3 / 1.7
To solve for H, cross-multiply and then divide:
H = (3 * 34) / 1.7
H = 102 / 1.7
H ≈ 60 feet
Therefore, the height of the tree is approximately 60 feet.
To find the height of the tree, we can use a proportion equation.
Let's label the height of the tree as 'h' and the length of its shadow as 'x.' We are given that the shadow cast by a 3-foot tall child is 1.7 feet.
We can set up the proportion:
(h / x) = (3 / 1.7)
To solve for 'h' (the height of the tree), we can cross-multiply and then divide:
h = (3 / 1.7) * x
Now substituting the given values, where the length of the shadow is 34 feet, we get:
h = (3 / 1.7) * 34
To calculate the height of the tree, we can evaluate the expression:
h = (3 / 1.7) * 34
h = 6 * 34 / 1.7
h = 204 / 1.7
h ≈ 120
Therefore, the height of the tree is approximately 120 feet.