Problema Solution
At a point 15 feet from the base of a tree the distance to the top of the tree is one more foot than the height of the tree. Find the height of the tree.
Answer provided by our tutors
let 'h' represent the height of the tree, then 'h+1' represents the height of the diagonal from 15 feet from the base of the tree to the top of the tree
a right triangle's hypotenuse is generically shown as "a^2 = b^2 + c^2", so if only one variable is necessary then the solution can be obtained
the right triangle defines:
(h+1)^2 = h^2 + 15^2
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solve for the height of the tree
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h=112
The tree is 112 feet tall.