Question

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

Answer 1

 Let the height from the bottom where the tree is broken be ‘h’ m Hence AC = (12 – h) m In right triangle ABC sin 60° = (AB)/(AC)(√3/2 )= h/(12 – h) 12√3 – √3h = 2h √3h + 2h = 12√3 h(√3 + 2) = 12√3 Therefore, h = 12√3/ (√3 + 2)  m