Question

A tree 90cm high broke at a point but did not separate. its top touched the ground at a distance of 27 m from its base. find the height of the point from the ground,at which the tree broke

Answer 1

Let height at which tree broke be x .
So the part of tree which fell = 90 - x
Applying pythogaras theorem ,
We get 27^2+x^2=(90-x)^2
729+x^2=90^2+x^2 - 2×90×x
180x=8100-729
X=7371÷180=40.95cm