Problema Solution

At a point on the ground, 24 feet from the base of a tree the distance to the top of the tree is 6 feet more than 2 times the height of the tree. Find the height of the tree.

Answer provided by our tutors

let 'h' represent the height of the tree


this is a right triangle problem with a base of 24 feet and a hypotenuse of '2h+6'


(2h+6)^2 = 24^2 + h^2

solving for 'h' we have a positive value of h=10


the height of the tree is 10 feet