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Tower A is $90$ m tall and tower B is $140$ m tall. They are 100 m apart. A horizontal skywalk connects the floors at $70$ m in both the towers. If a taut rope connects the top of tower A to the bottom tower B, at what distance (in meters) from tower A will the rope intersect the skywalk?

  1. $22.22$
  2. $50$
  3. $57.87$
  4. $77.78$
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