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.