The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 feet long. What is the height of the tree?
Proportion:-
27 4.5
------ = -------
x 5
x = height of tree.
4.5 · x = 27 · 5
4.5 · x = 135
135 ÷ 4.5 = 30
SO,
x = 30
The tree is 30 ft long.
Hope i helped ya!!
Using proportioanl relationship, the height of a tree that cast a shadow of 27 feet is 30 feet.
Proportional relationship are relationships between two variables where their ratios are equivalent.
There heights of your friend and the tree and there shadows from a proportional relationship .
Therefore,
height of your friend = 5 ft
length of shadow of your friend = 4.5 ft
Height of the tree = x
length of the shadow of the tree = 27 ft
Hence,
5 / x = 4.5 / 27
cross multiply
27 × 5 = 4.5 × x
135 = 4.5x
x = 135 / 4.5
x = 30
learn more on proportional relationship here: https://brainly.com/question/385963