Question

a tree breaks due to Storm and the broken part bands so that the top of the trees touches the ground making an angle 30 degree with the distance between the foot of the three to the point where the top touches the ground is 8 find the height of the tree or guys follow krdo plz​

Answer 1

Let the tree be AC and and is broken at B. The broken part touches at the point D on the ground. In right ΔBCD,

cos 30°=CD/BD

√3/2=8/BD

BD=16/√3

tan 30°=BC/CD

1/√3=BC/8

BC=8/√3

Height of tree=BC+BD

=8/√3+16/√3

=8+16/√3

=24×√3/√3×√3

=24/3×√3

Hence the height of the tree=8√3m.