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A 6 m flagstaff stands on top of a tower. From a point on level ground, the angles of elevation of the bottom and the top of the flagstaff are 30° and 60°. Find the height of the tower.

Competition practiceTrigonometry
  • A3 m
  • B6 m
  • C3√3 m
  • D9 m

Step-by-Step Solution

With distance d: h = d tan 30° = d/√3 and h + 6 = d tan 60° = √3 d = 3h. So 2h = 6 and h = 3 m.
Answer: A) 3 m

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