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A 1.2 m tall girl sees a balloon drifting horizontally at a height of 88.2 m above the ground. Its angle of elevation from her eyes is 60°; some time later it is 30°. How far did the balloon travel in that time?

Competition practiceTrigonometry
  • A58√3 m
  • B87√3 m
  • C29√3 m
  • D88.2√3 m

Step-by-Step Solution

Height above her eyes = 88.2 − 1.2 = 87 m. Distances: 87 cot 60° = 29√3 and 87 cot 30° = 87√3. Travelled = 87√3 − 29√3 = 58√3 m.
Answer: A) 58√3 m

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