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A tree breaks due to storm …

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A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
  • 1 answers

Priya Ambani 3 years, 7 months ago

Let the Height of the Tree =AB+AD and given that BD=8 m Now, when it breaks a part of it will remain perpendicular to the ground (AB) and remaining part (AD) will make an angle of 30 o Now, in △ABD cos30 o = AD BD ​ ⇒BD= 2 3 ​ AD ​ ⇒AD= 3 ​ 2×8 ​ also, in the same Triangle tan30 o = BD AB ​ ⇒AB= 3 ​ 8 ​ ∴ Height of tree =AB+AD=( 3 ​ 16 ​ + 3 ​ 8 ​ )m= 3 ​ 24 ​ m=8 3 ​ m
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