Question

A tree of height 12 m. breaks due to storm at certain height and the broken part bends so that the
top of the tree touches the ground making an angle 60° with it. Find the height at which the tree
breaks.​

Answer 1

Answer:

I think the answer is 5.6 is the answer

Hope it helps

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Answer 2

the height at which the tree breaks.​  = 5.5 m

Step-by-step explanation:

Height of tree = 12 m

Let say tree breaks at h height

then height of tree part touching ground = 12 - x  m

tree touches the ground making an angle 60° with ground

=> Sin 60° = h/(12 - h)

=> √3/2 = h/(12 - h)

=> 12√3  - h√3  = 2h

=> h(2 + √3)  = 12√3

=> h = 12√3/(2 + √3)

=> h = 12√3(2 - √3)

=> h = 24√3 - 36

=> h = 41.5 - 36

=> h = 5.5

the height at which the tree breaks.​  = 5.5 m

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