Question

A vertically straight tree, 12m high is broken by the wind in such a way that its top touches the ground and make an angle of 60° with the ground. at what height from the ground 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

Answer 2

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