Question

A man tied a rope to the top of a tree, which is 'x' m tall. The other end of the rope was tied to

the ground, 20 m away from the base of the tree. Given that the length of the rope is 16 m
longer than the height of the tree, find the height of the tree.
(by using pythagoras' theorem)​

Answer 1

Explanation:

Answer 2

(x+16)^2=20^2+x^2

Explanation:

Given there was no bending of the tree, the Pitagorean Theory would help finding the value of the trees hight.

x^2+32x+16^2=400+x^2

32x=(20-16)×(20+16)

x=144/32

x=4m and 50cm