Quantitative Aptitude :: Height and Distance - Discussion

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Explanation:
If tree is broken then becomes a right angled triangle.
Lets assume the height of broken tree =y
and length of broken part=x
now, x + y = 36 ------------ (1)
x^2 - y^2=144
(x+y)(x-y)=144
x-y = 4 ----------- (2)

By solving eq. (1) & (2)
=>x=20 & y=16