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The angle of elevation of the top of the taller of two towers from the foot of the shorter is 60°, and that of the top of the shorter from the foot of the taller is 30°. Find the ratio of the taller height to the shorter height.

Competition practiceTrigonometry
  • A3 : 1
  • B√3 : 1
  • C2 : 1
  • D1 : 3

Step-by-Step Solution

With distance between them: tan 60° = √3 and tan 30° = /√3. So .
Answer: A) 3 : 1

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