Question

20. Case Study Based :- 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.

a) Find the height of the tree.

b) Which mathematical concept used in this case study.

c) Write the name of the instrument used to measure the height and

distance.

d) Find the length of broken part of the tree.



fast plz
​

Answer 1

Step-by-step explanation:

Let AB be the tree.

Let it be broken by the wind at the point C and CB taking the position CD strikes the ground at D.

Now, ∠ADC=30

o

Let AC=x and CD=y

In right ΔADC, we have

AD

AC

=tan30

o

⇒

8

x

=

3

1

⇒x=

3

8

Again

CD

AD

=cos30

o

⇒

y

8

=

2

3

⇒y=

3

16

∴ Height of the tree =(x+y) metres.

=

3

8

+

3

16

=

3

24

=8

3

metres.