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A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man's eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?
  • a)
    26.28 km/hr
  • b)
    32.42 km/hr
  • c)
    24.22 km/hr
  • d)
    31.25 km/hr
  • e)
    33.20 km/hr
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A man is watching from the top of a tower a boat speeding away from th...

Consider the diagram shown above.
Let AB be the tower. Let C and D be the positions of the boat
Then, ∠ ACB = 45°, ∠ ADC = 30°, BC = 100 m

(∵ Substituted the value of AB from equation 1)

It is given that the distance CD is covered in 10 seconds.
i.e., the distance 100 (√3 - 1) is covered in 10 seconds.
Required speed
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A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the mans eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)26.28 km/hrb)32.42 km/hrc)24.22 km/hrd)31.25 km/hre)33.20 km/hrCorrect answer is option 'A'. 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 A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the mans eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)26.28 km/hrb)32.42 km/hrc)24.22 km/hrd)31.25 km/hre)33.20 km/hrCorrect answer is option 'A'. 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 A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the mans eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)26.28 km/hrb)32.42 km/hrc)24.22 km/hrd)31.25 km/hre)33.20 km/hrCorrect answer is option 'A'. Can you explain this answer?.
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Here you can find the meaning of A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the mans eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)26.28 km/hrb)32.42 km/hrc)24.22 km/hrd)31.25 km/hre)33.20 km/hrCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the mans eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)26.28 km/hrb)32.42 km/hrc)24.22 km/hrd)31.25 km/hre)33.20 km/hrCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the mans eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)26.28 km/hrb)32.42 km/hrc)24.22 km/hrd)31.25 km/hre)33.20 km/hrCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the mans eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)26.28 km/hrb)32.42 km/hrc)24.22 km/hrd)31.25 km/hre)33.20 km/hrCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the mans eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)26.28 km/hrb)32.42 km/hrc)24.22 km/hrd)31.25 km/hre)33.20 km/hrCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Bank Exams tests.
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