Railways Exam > Railways Questions > The horizontal distance between two towers is...
Start Learning for Free
The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.
- a)30 meters.
- b)30√4meters.
- c)30√3meters.
- d)90 meters.
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The horizontal distance between two towers is 90 m and the angular dep...
Difference between the height of tower = DE
Again AB = DC
From △CDE
tan 30o = DE/DC
1/√3 = DE /90
DE = 90 / √3
= 30√3 meters
Most Upvoted Answer
The horizontal distance between two towers is 90 m and the angular dep...
To solve this problem, we can use trigonometry and set up a right triangle. Let's label the heights of the two towers as h1 and h2.
In the triangle formed by the two towers and the horizontal distance between them, the angle of depression from the top of the second tower is 30 degrees. This means that the angle at the top of the triangle is also 30 degrees.
Let's label the base of the triangle (the horizontal distance) as b, which is 90 m. Now we can use trigonometry to find the heights of the two towers.
For the first tower:
tan(angle) = opposite/adjacent
tan(30 degrees) = h1/90
√3/3 = h1/90
h1 = 90 * √3/3 = 30√3 m
For the second tower:
tan(angle) = opposite/adjacent
tan(30 degrees) = h2/90
√3/3 = h2/90
h2 = 90 * √3/3 = 30√3 m
The difference in heights of the two towers is:
h1 - h2 = 30√3 - 30√3 = 0
Therefore, the difference in heights of the two towers is 0 meters.
In the triangle formed by the two towers and the horizontal distance between them, the angle of depression from the top of the second tower is 30 degrees. This means that the angle at the top of the triangle is also 30 degrees.
Let's label the base of the triangle (the horizontal distance) as b, which is 90 m. Now we can use trigonometry to find the heights of the two towers.
For the first tower:
tan(angle) = opposite/adjacent
tan(30 degrees) = h1/90
√3/3 = h1/90
h1 = 90 * √3/3 = 30√3 m
For the second tower:
tan(angle) = opposite/adjacent
tan(30 degrees) = h2/90
√3/3 = h2/90
h2 = 90 * √3/3 = 30√3 m
The difference in heights of the two towers is:
h1 - h2 = 30√3 - 30√3 = 0
Therefore, the difference in heights of the two towers is 0 meters.
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer?
Question Description
The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer?.
The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer?.
Solutions for The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.a)30 meters.b)30√4meters.c)30√3meters.d)90 meters.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup