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GATE 2018 CE (CE1) – Question 4

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · MTA

Towers A and B are 90 m and 140 m tall, 100 m apart. A horizontal skywalk connects their floors at 70 m. A taut rope runs from the top of A to the bottom of B. How far from A does it intersect the skywalk?

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

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Correct answer: MTA

Explanation

From A, rope height is $y=90(1-x/100)$. At the skywalk y = 70, so $x=100(1-70/90)=22.22$ m (A). Tower B’s height does not affect the rope to its base.