A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with the ground. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.


We know that the total height of the tree



AB = AD+DC


In ∆DBC,


tan 30° =


=



---------(1)


Cos 30° =


=



h =


Height of tree =



Height of tree = 8√3 m.


19
1