Question

a tree breaks due to strom and broken part bends to that the top of the tree touches the ground by making an angle of 30° with the ground the distance from the foot of the tree to the point where the top touches the ground is 10m find the height of the tree​

Answer 1

Answer:

I hope it helps

I did it roughly, you need to assume the height (x+h) m at the beginning ,etc

Answer 2

Answer:

$10 \sqrt{3}$

Step-by-step explanation:

Let the Height of the Tree =AB+AD

and given that BD=10m

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 = AD/BD

BD=

$\sqrt{3} \div 2 \times ad$

⇒AD=

$2 \times 10 \div \sqrt{3}$

also, in the same Triangle

tan30

= BD/AB

⇒AB=

$10 \div \sqrt{3}$

∴ Height of tree =AB+AD=(

3

10

$\sqrt{3}$