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.

Algebra ->  Length-and-distance -> 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.      Log On


   

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) About Me  (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?