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A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]
- a)20
- b)5
- c)6
- d)10
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A man is walking towards a vertical pillar in a straight path, at a un...
...(1)tan 600
From (1) and (2)
3a = x + a ⇒ x = 2a
Here, the speed is uniform
So, time taken to cover x = 2 (time taken to cover a)
∴ Time taken to cover a =
minutes = 5 minutes
minutes = 5 minutesMost Upvoted Answer
A man is walking towards a vertical pillar in a straight path, at a un...
Degrees. He continues to walk towards the pillar and when he reaches a point B, which is 20 meters closer to the pillar, he finds that the angle of elevation of the top of the pillar is 60 degrees. What is the height of the pillar?
Let's denote the distance between the man and the pillar as x, and the height of the pillar as h. From point A, we can use trigonometry to find that:
tan(30) = h/x
x = h/tan(30)
From point B, we can use trigonometry again to find that:
tan(60) = h/(x-20)
x-20 = h/tan(60)
Now we can substitute the first equation into the second equation:
h/tan(60) - 20 = h/tan(30)
Simplifying this equation:
h(1/tan(60) - 1/tan(30)) = 20
Using the values of tan(60) and tan(30):
h(√3 - 1) = 20
h = 20 / (√3 - 1)
Using rationalization of the denominator:
h = 20 (√3 + 1) / 2
h = 10(√3 + 1)
Therefore, the height of the pillar is approximately 17.32 meters (rounded to two decimal places).
Let's denote the distance between the man and the pillar as x, and the height of the pillar as h. From point A, we can use trigonometry to find that:
tan(30) = h/x
x = h/tan(30)
From point B, we can use trigonometry again to find that:
tan(60) = h/(x-20)
x-20 = h/tan(60)
Now we can substitute the first equation into the second equation:
h/tan(60) - 20 = h/tan(30)
Simplifying this equation:
h(1/tan(60) - 1/tan(30)) = 20
Using the values of tan(60) and tan(30):
h(√3 - 1) = 20
h = 20 / (√3 - 1)
Using rationalization of the denominator:
h = 20 (√3 + 1) / 2
h = 10(√3 + 1)
Therefore, the height of the pillar is approximately 17.32 meters (rounded to two decimal places).
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A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]a)20b)5c)6d)10Correct answer is option 'B'. Can you explain this answer?
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A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]a)20b)5c)6d)10Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]a)20b)5c)6d)10Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]a)20b)5c)6d)10Correct answer is option 'B'. Can you explain this answer?.
A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]a)20b)5c)6d)10Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]a)20b)5c)6d)10Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]a)20b)5c)6d)10Correct answer is option 'B'. Can you explain this answer?.
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A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]a)20b)5c)6d)10Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]a)20b)5c)6d)10Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is: [JEE M 2016]a)20b)5c)6d)10Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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