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A wheelchair ramp is built as a right triangle ABC with the vertical post AB, the level ground BC and the right angle at B. A horizontal bracket DE is fixed with D on the post AB and E on the sloping ramp AC, so DE is parallel to BC. The bracket sits at AD = 18 cm below the top, with DB = 27 cm, and the sloping ramp AC measures 1.5 m. Find AE (in cm).

Class 10Basic Proportionality TheoremGeometry — Similarity
  • A100
  • B90
  • C60
  • D75

Step-by-Step Solution

The post is cm, so parallel to gives , and with m = 150 cm this makes cm. The value 100 uses on instead of ; 90 is , the lower part of the ramp; 75 halves .
Answer: C) 60

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