Question

A tree 12 m high is broken by the wind in such a way that its top touches the ground and makes an angle of 60 with ground ​

Answer 1

Step-by-step explanation:

Height of the = AC+BC=12m

Let AC=xm

In ΔABC,

sin60

∘

=

12−x

x

2

3

=

12−x

x

3

(12−x)=2x

12

3

−

3

x=2x

∴12

3

=2x+

3

x

=x(2+

3

)

2+

3

12

3

=x

(2+

3

)(2−

3

)

(12

3

)(2−

3

)

=x

4−3

(12

3

)(2−

3

)

=x

12

3

(2)−12×3=x

24

3

−36=x

24×1.73−36=x (

3

=1.73)

41.52−36=x

∴x=5.52m

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Answer 2

Step-by-step explanation:

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