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 is12m. Find the height of the tree
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Step-by-step explanation:
Let the Height of the Tree =AB+AD
and given that BD=12m
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°
Now, in △ABD
cos30°= BD/AD
⇒BD= √3AD/2
⇒AD= 2×12/√3
Also, in the same Triangle
tan30°=AB/BD
⇒AB= 12/√3
Now, height of the tree= AB+AD
=[12/√3] + [24/√3]
=4√3 + 8√3
=√3(4+8)
12√3 m
Hope it helps!
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