A 9 foot flagpole cast a shadow 6 feet long, and at the same time a nearby tree cast a shadow 14 feet long. What is x the hight of the tree.

It is 17 ft long because for the flagpole the shadow was 3 feet shorter then the actual height of the flag pole, so for the tree the shadow is 14 ft so you would add 3 ft and that equals 17

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AnkitM AnkitM · Answer 2 · 2022-05-19T18:02:01+02:00

The height of the nearby tree is 21 feet.

What is proportion?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole.

According to the problem,

Height of the flagpole = 9 feet

Length of the shadow = 6 feet

Length of the shadow cast by the tree = 14 feet

Let the height of the tree be x,

Since they cast aa shadow at the same time nearby, If we set up a proportion,

⇒ [tex]\frac{9}{6}[/tex] = [tex]\frac{x}{14}[/tex]

⇒ 6x = 126

⇒ x = [tex]\frac{126}{6}[/tex]

⇒ x = 21 feet

Hence, we can conclude, the height of the shadow is 21 feet.

Learn more about proportions here:

https://brainly.com/question/21126582

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