Similarity of TrianglesXAT Previous-Year Questions

1 previous-year question on Similarity of Triangles from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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Similarity of Triangles · XAT PYQs

XAT 2020 · QA & DI
Q1.

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?