Problema Solution
At a point on the ground 12ft. from the base of the treeˏ the distance to the top of the tree is 3ft. 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 in feet, then '2h+3' represents the distance to the top of the tree from a point on the ground 12 ft from the base of the tree
this is a right-triangle problem with a base of 12 ft, a hypotenuse of '2h+3' and third side 'h'
(2h+3)^2 = 12^2 + h^2
solving for 'h' we have a positive value of h=5
the tree is 5 feet in height