A tree 12m high, is broken by the wind in such a way that its top touches the ground and makes an angle of 60degree with the ground .. At what height from the bottom, the is broken by the wind???

 

Let AB be the tree of height 12 m.

Let us assume that tree is broken at point C and CD be its final position.

 

Take, AC = y

Then, BC = CD = 12 – y  (broken part of the tree)

∠ADC = 60°

 

In ΔADC,

 

Thus, tree is broken at a height of 5.569 m from the bottom.

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