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Answer:
 100√3 ≈ 173 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relationships.
 Sin = Opposite/Hypotenuse
 sin(60°) = height/(200 m)
 height = (200 m)sin(60°) ≈ 173.205 m
The height of the balloon is about 173 meters.
