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A ladder leans against a vertical wall. The top of the ladder is 8 metres above the ground. When the bottom of the ladder is moved 2 metres farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?
  • a)
    20 meter
  • b)
    16 meter
  • c)
    18 meter
  • d)
    17 meter
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A ladder leans against a vertical wall. The top of the ladder is 8 me...
Let the length of the ladder be x meter. We have
82 + y2 = x2 and (y + 2) = x
Hence, 64 + (x - 2)2 = x2
⇒ 64 + x2 - 4x + 4 = x2
⇒ 68 = 4x ⇒ x = 17 meter
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A ladder leans against a vertical wall. The top of the ladder is 8 metres above the ground. When the bottom of the ladder is moved 2 metres farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?a)20 meterb)16 meterc)18 meterd)17 meterCorrect answer is option 'D'. Can you explain this answer?
Question Description
A ladder leans against a vertical wall. The top of the ladder is 8 metres above the ground. When the bottom of the ladder is moved 2 metres farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?a)20 meterb)16 meterc)18 meterd)17 meterCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A ladder leans against a vertical wall. The top of the ladder is 8 metres above the ground. When the bottom of the ladder is moved 2 metres farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?a)20 meterb)16 meterc)18 meterd)17 meterCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ladder leans against a vertical wall. The top of the ladder is 8 metres above the ground. When the bottom of the ladder is moved 2 metres farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?a)20 meterb)16 meterc)18 meterd)17 meterCorrect answer is option 'D'. Can you explain this answer?.
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