Quantitative Aptitude – Triangles – Two lighthouses, located at points A and B on the earth


XAT 2020 Exam Paper – Quantitative Aptitude – Triangles – Two lighthouses, located at points A and B on the earth

Q. Two lighthouses, located at points A and B on the earth, are 60 feet and 40 feet tall respectively. Each lighthouse is perfectly vertical and the land connecting A and B is perfectly flat. The topmost point of the lighthouse at A is A’ and of the lighthouse at B is B’. Draw line segments A’B and B’A, and let them intersect at point C’. Drop a perpendicular from C’ to touch the earth at point C. What is the length of CC’ in feet?
  1. 20
  2. 25
  3. 30
  4. 24
  5. The distance between A and B is also needed to solve this

Answer: 24



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