Problema Solution
At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height of the tree. Find the height of the tree
Answer provided by our tutors
let h = the height of the tree, h>0
the distance to the top of the tree is 1 ft more than 3 times the height of the tree: 3h + 1
the height of the tree, the distance from the base of the tree and distance to the top are sides of a right triangle (make a drawing)
using the Pythagorean Theorem we have
h^2 + 35^2 = (3h + 1)^2
by solving the equation we find
h = 12 ft
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the tree is 12 feet heigh.