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From the top of a 12 m building, the angle of elevation of the top of a tower is 30°; from the foot of the building it is 60°. Find the height of the tower.

Competition practiceTrigonometry
  • A18 m
  • B24 m
  • C12√3 m
  • D36 m

Step-by-Step Solution

Let the distance be d: H = d√3 and H − 12 = d/√3 = H/3. So 2H/3 = 12 and H = 18 m.
Answer: A) 18 m

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