Question

Find the height of the tree which is broken at some point by wind and the broken part makes 30° with the

ground at a distance of 10√3m from root. ​

Answer 1

let length of broken tree=x

If it makes 30° with the ground at a distance of 10/√3m

then

tan theta =AB/BC (BCZ AB IS UNKNOWN SIDE and BC known side of ∆ABC

tan30°= x/10/√3

√3=X×√3/10

√3=√3x/10

√3×10/√3=X

X=10m

Therefore length of broken part =X=10m