From the top of a tower, the angle of depression of a point A on the ground is 30°. From the same point on the tower, the angle of elevation of a balloon at a vertical height above point A is 60°. If the horizontal distance between the tower and point A is 40 metres, find the height of the balloon above point A (in metres).

Subject: Mathematics | Topic: Trigonometry | Difficulty: MEDIUM

Options

  1. (A) 40/√3
  2. (B) 120/√3
  3. (C) 80/√3
  4. (D) 160/√3

Verified Answer

Option (C): 80/√3


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