SOLUTION: At a point on the ground 15ft from the base of a tree, the distance to the top of the tree is 1ft more than 2 times the height of the tree. Find the height of the tree.

SOLUTION: At a point on the ground 15ft from the base of a tree, the distance to the top of the tree is 1ft more than 2 times the height of the tree. Find the height of the tree.

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Question 362622: At a point on the ground 15ft from the base of a tree, the distance to the top of the tree is 1ft more than 2 times the height of the tree. Find the height of the tree.
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Let height = x

Let distance from point to top of tree = (2x + 1)

Distance from base of tree to point = 15 feet

We use the Pythagorean Theorem.

x^2 + (15)^2 = (2x + 1)^2

Can you finish?
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