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Directions: Study the following questions carefully and choose the right answer:
The angles of depression of two ships from the top of a light house are 45° and 30° towards east. If the ships are 200 m apart, find the height of the light house.
  • a)
    100 m
  • b)
    173 m
  • c)
    200 m
  • d)
    273 m
  • e)
    274 m
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the following questions carefully and choose the rig...

Given,
∠ ACB = 45°
∠ ADB = 30°
and distance between two ships, i.e.,
CD = 200 m
Then, AB = ?
Let BC = x m
In ΔABC,
tan 45º = AB /BC
(∵ tan 45° = 1)
1 = AB / x
∴ AB = x m ....(i)
In ΔABD, tan30º = AB / BD
∴ 1 / √3 = AB / (x + 200)
(∵ tan 30° = 1/√3 )
x = √3, AB – 200 ....(ii)
From Eqs. (i) and (ii),
AB = √3AB – 200
√3 AB – AB = 200
0.732 AB = 200
(∵ √3 = 1.732)
AB = 200 / 0.732 = 273 .22
= 273 m
Hence, option D is  correct.
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Directions: Study the following questions carefully and choose the right answer:The angles of depression of two ships from the top of a light house are 45° and 30° towards east. If the ships are 200 m apart, find the height of the light house.a)100 mb)173 mc)200 md)273 me)274 mCorrect answer is option 'D'. 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 Directions: Study the following questions carefully and choose the right answer:The angles of depression of two ships from the top of a light house are 45° and 30° towards east. If the ships are 200 m apart, find the height of the light house.a)100 mb)173 mc)200 md)273 me)274 mCorrect answer is option 'D'. 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 Directions: Study the following questions carefully and choose the right answer:The angles of depression of two ships from the top of a light house are 45° and 30° towards east. If the ships are 200 m apart, find the height of the light house.a)100 mb)173 mc)200 md)273 me)274 mCorrect answer is option 'D'. Can you explain this answer?.
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