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The height of the balloon from ground is 100√3m.
Justification:
<u>The above situation forms a right angled triangle ABC in which length of cable 200m indicates the hypotenuse side and angle of inclination is 60°</u>.
So, In ΔABC
sinθ = p/h
sin60° = AB/AC
√3/2 = AB/200
AB = 200√3/2
AB = 100√3m.
<u>Note</u>: Figure attached with answer.
