Problema Solution
at a point on the ground 80 ft from the base of a tree, the distance to the top of the tree is 11 ft more than 2 times the height of the tree. find the height of the tree
Answer provided by our tutors
From the given information, we can determine that we have a right angle with the following sides:
hypotenuse=2n+11
side 2=height of tree=n
side 3=distance from base=80
We know that:
c^2=a^2+b^2
for a right triangle where c is the hypotenuse and a and b are the other sides. Therefore, we can write:
(2n+11)^2=(n)^2+80^2
Solving for n (the height of the tree), we get:
n=39 feet