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 degree. At what height from the ground did the tree break ?
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Answer:
The height above the ground from the tree broke is 6.9 meter.
Step-by-step explanation:
Given : 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 degree.
To find : At what height from the ground did the tree break ?
Solution :
The height of the tree = 15 m
Refer the attached figure below.
Suppose it broke at 'C' and its top 'A' touches the ground at 'D'
Now, AC = CD, and angle BDC = 60°
Let BC = 'x'
So, AC = 15 - x and CD = 15 - x
In right angle BCD,
Therefore, The height above the ground from the tree broke is 6.9 meter.
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