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Tree is broken by the wind the top struck the ground at 30° at a distance of 30m. away from the root. Find the height of the tree.

  • a)
    45.9

  • b)
    88.60

  • c)
    54.63

  • d)
     51.96

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Tree is broken by the wind the top struck the ground at 30° at a dista...
let , 
the height of standing part of the tree be = h 
the height of  fallen part (forms hypotenuse) be = x
then the total height of the tree will be = h + x 
now, 
tan 30 = h/30 m
     1/√3 = h/30 m 
    30/√3 = h
    ⇒ h= 30/√3 m           .... 1
similarly, 
cos 30 = 30 m/ x 
   √3/2 = 30 / x
√3x = (30)2 
 √3x = 60 m 
⇒ x = 60 / √3 m           ....2
       ( we now have both value of h and x )
   on adding equation1 & 2 :
 ⇒ h + x = 30 /√3 +60 /√3
         =90 /√3 m 
         = 60√3 m
so , the total height of the tree is 60√3 m .
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Tree is broken by the wind the top struck the ground at 30° at a distance of 30m. away from the root. Find the height of the tree.a)45.9b)88.60c)54.63d)51.96Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Tree is broken by the wind the top struck the ground at 30° at a distance of 30m. away from the root. Find the height of the tree.a)45.9b)88.60c)54.63d)51.96Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tree is broken by the wind the top struck the ground at 30° at a distance of 30m. away from the root. Find the height of the tree.a)45.9b)88.60c)54.63d)51.96Correct answer is option 'D'. Can you explain this answer?.
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