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A tree's root is 9 feet below ground and spans a radius of 6 feet. If the total length of the tree from root tip to top is 23 feet, what is the tree's elevation above ground?

a) 14ft
b)17ft
c)26ft
d)32ft

2 Answers

3 votes
the answer might be 14ft
User Makyen
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5.2k points
2 votes

according to given information, let's draw a rough sketch of the tree and the ground.

In the attached picture AD is tree

DB is the root.

BC is the span of tree root.


Given that the total length of the tree from root tip to top is 23 feet so

AB= 23 ft

Given that tree's root is 9 feet below ground, so DB=9 ft

Given that spans a radius of 6 feet, so BC= 6 ft

we have to find the tree's elevation above ground, which means find the value of AD.

From picture, we see that

AB=AD+DB

plug the given values

23=AD+9

23-9=AD

14=AD

Hence final answer is 14 ft.


A tree's root is 9 feet below ground and spans a radius of 6 feet. If the total length-example-1
User Chanuka Asanka
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4.8k points