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Nady [450]
1 year ago
15

One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is f

ormed by Manny, his shadow, and a line of sight from the ground to the top of his head. Are the two triangles similar?
Mathematics
1 answer:
musickatia [10]1 year ago
8 0

The height of the tree is 21 feet if manny stands 512 feet tall, and his shadow is 414 feet long. The tree's shadow extends 17 feet in length.

<h3>What is Ratio?</h3>

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

The length of Manny's shadow, which is 414 feet long, is 512 feet.

The tree's shadow extends 17 feet.

Here, we'll assume that the height is x.

According to the data given, the calculation is as follows:

414 : 512 = 17 : x

⇒ 414 / 512 = 17 / x

⇒ (414)x = (512)(17)

⇒ x = (512)(17)/(414)

⇒ x =21.02

⇒ x = 21 feet

Therefore, the height of the tree is 21 feet if manny stands 512 feet tall, and his shadow is 414 feet long. The tree's shadow extends 17 feet in length.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ1

Your question is incomplete, probably the complete question is:

One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head. Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?

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