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The upper part of a tree broken by the wind falls to the ground without being detached. The top of the broken part touches the ground at an angle of 30° at a point 8m from the foot of the tree. The original height of the tree is
  • a)
    8m
  • b)
    24m
  • c)
    24√3m
  • d)
    8√3m
Correct answer is option 'D'. Can you explain this answer?
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The upper part of a tree broken by the wind falls to the ground withou...
Degrees with the trunk of the tree.

We can use trigonometry to determine the height of the broken part of the tree. Let's call the height we want to find "h", and let's call the distance from the base of the tree to the point where the broken part touches the ground "d".

Using the angle of 30 degrees, we can say:

tan(30) = h/d

Simplifying this equation, we get:

h = d * tan(30)

We don't know the value of "d", but we can estimate it based on the length of the broken part of the tree. Let's say the broken part is 10 meters long. If we assume that the point where it touches the ground is halfway between the base of the tree and the end of the broken part, then "d" would be 5 meters.

Plugging this value into our equation, we get:

h = 5 * tan(30)

h = 2.88 meters

So the height of the broken part of the tree is approximately 2.88 meters.
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The upper part of a tree broken by the wind falls to the ground without being detached. The top of the broken part touches the ground at an angle of 30° at a point 8m from the foot of the tree. The original height of the tree isa)8mb)24mc)24√3md)8√3mCorrect answer is option 'D'. Can you explain this answer?
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The upper part of a tree broken by the wind falls to the ground without being detached. The top of the broken part touches the ground at an angle of 30° at a point 8m from the foot of the tree. The original height of the tree isa)8mb)24mc)24√3md)8√3mCorrect 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 The upper part of a tree broken by the wind falls to the ground without being detached. The top of the broken part touches the ground at an angle of 30° at a point 8m from the foot of the tree. The original height of the tree isa)8mb)24mc)24√3md)8√3mCorrect 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 The upper part of a tree broken by the wind falls to the ground without being detached. The top of the broken part touches the ground at an angle of 30° at a point 8m from the foot of the tree. The original height of the tree isa)8mb)24mc)24√3md)8√3mCorrect answer is option 'D'. Can you explain this answer?.
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