A tree breaks due to the storm and the broken part bends sothat the top of the tree touches the ground making an angle 60 degrees with it.The distance between the foot of the tree to the point where the top touches the ground in 4m.Find the height of the tree before broken
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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 △ABD
cos30
o
=
AD
BD
⇒BD=
2
3
AD
⇒AD=
3
2×8
also, in the same Triangle
tan30
o
=
BD
AB
⇒AB=
3
8
∴ Height of tree =AB+AD=(
3
16
+
3
8
)m=
3
24
m=8
3
m
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