a tree is broken at a height of 7 m from the ground and its top touches the ground at a distance of 24 m from the base of the tree find the original height of the tree
Answers
Answered by
32
the tree was 31 m long
Answered by
82
let the broken part of tree be x
then total height of tree=7+x
since it form a right angled triangle with base 24m and height 7m and hypotenuse be x
then by using Pythagoras theorem
(hypotenuse)^2=(base)^2+(height)^2
x^2=24^2+7^2
x^2=576+49
x^2=625
x=25
therefore height of tree =x+7=25+7=31
then total height of tree=7+x
since it form a right angled triangle with base 24m and height 7m and hypotenuse be x
then by using Pythagoras theorem
(hypotenuse)^2=(base)^2+(height)^2
x^2=24^2+7^2
x^2=576+49
x^2=625
x=25
therefore height of tree =x+7=25+7=31
Similar questions