Home
Class 10
MATHS
A tree is broken by the wind. The top st...

A tree is broken by the wind. The top struck the ground at an angle of `30^(@)` and at a distance of 4 m from the root. Find the height of the tree before broken.

Text Solution

AI Generated Solution

To find the height of the tree before it was broken, we can use trigonometric ratios. Here's a step-by-step solution: ### Step 1: Understand the Problem The tree is broken, and the top of the tree strikes the ground at an angle of \(30^\circ\) and at a distance of 4 meters from the root. We need to find the height of the tree before it was broken. ### Step 2: Set Up the Triangle Let: - \(A\) be the point where the tree was originally standing (the top of the tree). ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|32 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Questions)|5 Videos
  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos
  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

In a violent storm, a tree got bent by the wind. The top of the tree meets the ground at an angle of 30^(@) , at a distance of 30 metres from the root. At what height from the bottom did the tree bent? What was the original height of the tree? (Use sqrt3=1.73 )

Some portion of a 20 meters long tree is broken by the wind and its top struck the ground at an angle of 30 ^@ .Find the height of the point where the tree is broken.

The upper part of a tree, broken over by the wind. makes an angle of 45^(@) with the ground , and the distance from the root to the point where the top of the tree touches the ground. is 1.5 m. What was the height of the tree before it was broken ?

A tree is broken at a height of 5 m from the groundand its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree

The upper part of a tree broken over by the wind makes an angle of 30^0 with the ground and the distance from the root to the point where the top of the tree touches the ground is 15m. Using sine rule, fine the height of the tree.

The upper part of a tree broken over by the wind makes an angle of 60^(@) with the ground and the horizontal distance from the foot of the tree to the point where the top of the tree meets the ground is 10 metres. Find the height of the tree before broken.

A tall tree is broken by a storm. It broke at a point but did not separate. Its top touched the ground at a distance 40 m from its base. If the height of the point from the ground at which the tree broke is 9 m, find the height of tree before it was broken.

A vertically straight tree, 15m high, is broken by the wind in such a way that its top just touches the ground and makes an angle of 60^@ with the ground. At what height from the ground did the tree break?

A tree 12m high, a broken by the wind in such a way that its top touches the ground and makes an angle 60^0 with the ground. At what height from the bottom the tree is broken by the wind?

The upper part of a tree broken over by wind, makes an angle of 30^(@) with the ground. If the length of the upper part is 8sqrt3 metresthen what was the height of the tree before broken ?