Question

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground where it make
angle 30° The distance between the foot of the tree to the point where the top touches the ground is 8m. Find the height of the tree from where it is broken.
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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

Step-by-step explanation:

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