A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
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Answer:
it's answer is 8 root 3 m okh....tc
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Answer:
Let the Height of the Tree =AB+AD
and given that BD=8 m
Now, when it breaks a part of it will remain perpendicular to the ground (AB) and remaining part (AD) will make an angle of 30
o
Now, in △ABDcos30 o = ADBD
⇒BD= 23AD
⇒AD= 32×8
also, in the same Triangle tan30
o= BDAB⇒AB= 38
∴ Height of tree =AB+AD=( 316+38)
m= 324 m=8 3 m
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