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Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:
  • a)
    173 m
  • b)
    200 m
  • c)
    273 m
  • d)
    300 m
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two ships are sailing in the sea on the two sides of a lighthouse. The...
Then, AB = 100m, ∠ACB = 30° and ∠ADB = 45°

⇒ AD = AB = 100m
∴ CD = (AC+AD) = (100√3 +100)
= 100(√3 +1) = 100(1.73+1) =100 × 2.73 = 273m
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Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:a)173 mb)200 mc)273 md)300 me)None of theseCorrect answer is option 'C'. Can you explain this answer? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:a)173 mb)200 mc)273 md)300 me)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:a)173 mb)200 mc)273 md)300 me)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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