GMAT Exam  >  GMAT Questions  >  A man is watching from the top of a tower a b... Start Learning for Free
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 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?
  • a)
     32 kmph
  • b)
     36 kmph
  • c)
     40 kmph
  • d)
     44 kmph
  • e)
    48 kmph
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A man is watching from the top of a tower a boat speeding away from th...
Let the tower be PQ and the boat be at positions R and S when making angles of 45° and 30° respectively.
Given, PR = 60 m.
Now, PQ/PR = tan 45° = 1. So, PQ = PR = 60 m.
Again, PQ/PS = tan 30° = 1/√3. So, PS = 60 * √3 m = 103.92 m.
Distance covered in 5 seconds = 103.92 – 60 = 43.92 m.
Speed in kmph = (43.92/5) * (18/5) = 32 kmph (approximately)
View all questions of this test
Most Upvoted Answer
A man is watching from the top of a tower a boat speeding away from th...
The question seems to be incomplete. Could you please provide more information?
Explore Courses for GMAT exam

Similar GMAT Doubts

Top Courses for GMAT

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 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)32 kmphb)36 kmphc)40 kmphd)44 kmphe)48 kmphCorrect answer is option 'A'. Can you explain this answer?
Question Description
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 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)32 kmphb)36 kmphc)40 kmphd)44 kmphe)48 kmphCorrect answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT 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 man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)32 kmphb)36 kmphc)40 kmphd)44 kmphe)48 kmphCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 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 man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)32 kmphb)36 kmphc)40 kmphd)44 kmphe)48 kmphCorrect answer is option 'A'. Can you explain this answer?.
Solutions 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 man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)32 kmphb)36 kmphc)40 kmphd)44 kmphe)48 kmphCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
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 man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)32 kmphb)36 kmphc)40 kmphd)44 kmphe)48 kmphCorrect 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 man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)32 kmphb)36 kmphc)40 kmphd)44 kmphe)48 kmphCorrect 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 man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)32 kmphb)36 kmphc)40 kmphd)44 kmphe)48 kmphCorrect 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 man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)32 kmphb)36 kmphc)40 kmphd)44 kmphe)48 kmphCorrect 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 man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?a)32 kmphb)36 kmphc)40 kmphd)44 kmphe)48 kmphCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev