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.

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vintechnology vintechnology · Answer 2 · 2022-04-14T13:05:56+02:00

Using proportioanl relationship, the height of a tree that cast a shadow of 27 feet is 30 feet.

What is a proportional relationship?

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