Question

the height of a tree is 10m it is bent by the wind in such a way that is top touches the ground and make an angle of 60° with ground at what height from the bottom did the tree get bent

Answer 1

Answer:

The tree is broken at 4.64 m above the ground.

Step-by-step explanation:

Given height of the tree before it was bent = 10 m.

Let the height of the tree where it bents due to wind = AB = h

Hence, AC = 10-h m

In rt. triangle ABC,

sin 60 = AB / AC

√3 / 2 = h / 10-h

10√3 - √3 h= 2h

10√3 = √3h +2h

10√3 = (√3 + 2)h

h = 10√3 / √3 + 2

DO RATIONALIZATION.....

h=4.64 m.

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