Question

A tree breaks due to storm and the broken part bends so that the top of the tree touches
the ground by making 30° angle with the ground. The distance between the foot of the
tree and the top of the tree on the ground is 6m. Find the height of the tree before falling
down.​

Answer 1

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