Question

a a tree breaks down due to Storm the and the path bends so that the top of the tree touches the ground making an angle 30° with the ground the distance between the foot of the tree and the ground is 6 m find the height of the tree before broken

Answer 1

↑ Here is your answer ↓
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Please refer the attachment below:

Given that,

$x \sqrt 3 = 6$

$x = 6 / \sqrt 3 --(1)$

'2x' is the broken part of the tree,

So, required length

$= 2x + x$

$= 3x --(2)$

Sub (1) in (2),

$= 3x$

$= 3*6/ \sqrt 3$

$= 18/ \sqrt 3$

$= 6 \sqrt 3 m$

Answer 2

heya

here is ur answer

➡tan 30° = h/6

⭐tan 30= 1/√3

➡1/√3 = h/6

➡h.√3 = 6

➡h=6/√3

⭐ rationalising the denominator

➡6/√3*√3/√3

➡6.√3/2

➡2.√3

so the height AB is 2.√3

⭐⭐⭐the height of tree before falling down = AB+AC

⭐ sin 30° = 2.√3/AC

➡sin 30°= 1/2

➡1/2. = 2.√3/AC

➡AC = 4.√3


⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

the height of tree before falling down

= 2.√3 +4.√3

= 6.√3


➡so ur answer is 6.√3


⭐⭐⭐ hope it helps u....!!!