Class 10 Exam  >  Class 10 Questions  >  Tree is broken by the wind the top struck the... Start Learning for Free
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?
Verified 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 .
View all questions of this test
Most Upvoted Answer
Tree is broken by the wind the top struck the ground at 30° at a dista...
Free Test
Community Answer
Tree is broken by the wind the top struck the ground at 30° at a dista...
Given:

- The top of the tree struck the ground at 30° at a distance of 30m away from the root.

To find:

- The height of the tree.

Approach:

- We can use trigonometry to solve this problem.
- Let's assume the height of the tree is 'h'.
- We can form a right-angled triangle using the height of the tree, the distance from the root to the top of the tree, and the distance from the root to the point where the top of the tree struck the ground.
- We know the angle at the top of the tree is 30°, and the adjacent side is 30m.
- We can use the tangent function to find the height of the tree.

Solution:

- Let's calculate the height of the tree using the tangent function:
- tan(30°) = height of the tree / 30m
- tan(30°) = h / 30
- h = 30 * tan(30°)
- h ≈ 30 * 0.5774
- h ≈ 17.32

Answer:

- The height of the tree is approximately 17.32m.
- None of the given options match the calculated height.
- Therefore, the correct answer is not provided in the options.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

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?
Question Description
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 2024 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 2024 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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev