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A 1.5 m tall girl stands 3 m from a lamp post. Her shadow is 1 m long. Using similar triangles formed by the lamp and the girl, the height of the lamp post (in m) is:

Class 10Criteria for SimilarityGeometry — Similarity
  • A5
  • B12
  • C7
  • D6

Step-by-Step Solution

Tip of shadow, girl, lamp form similar triangles. Girl: height 1.5 over shadow 1. Lamp base to shadow tip = 3 + 1 = 4. So H/4 = 1.5/1, H = 6 m.
Answer: D) 6

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