Class 10 Exam > Class 10 Questions > An aeroplane at a height of 600 m passes vert...
Start Learning for Free
An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?
- a)286.53 m
- b)274.53 m
- c)253.58 m
- d)263.83 m
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
An aeroplane at a height of 600 m passes vertically above another aero...
Let's call the height of the first airplane H1 and the height of the second airplane H2.
According to the problem, H1 = 600 m.
Let's assume that the distance between the observing point and the first airplane is D1, and the distance between the observing point and the second airplane is D2.
Since both airplanes are passing vertically above the observing point, we can form two right-angled triangles: one with the first airplane and the observing point, and the other with the second airplane and the observing point.
In the first triangle, the angle of elevation is 60 degrees. Therefore, we can write:
tan(60) = H1 / D1
√3 = 600 / D1
D1 = 600 / √3
In the second triangle, the angle of elevation is also 60 degrees. Therefore, we can write:
tan(60) = H2 / D2
√3 = H2 / D2
Since the second airplane is passing vertically above the first airplane, H2 = H1.
Therefore, we can write:
√3 = H1 / D2
√3 = 600 / D2
D2 = 600 / √3
So, the distance between the observing point and the first airplane (D1) is 600 / √3 meters, and the distance between the observing point and the second airplane (D2) is also 600 / √3 meters.
According to the problem, H1 = 600 m.
Let's assume that the distance between the observing point and the first airplane is D1, and the distance between the observing point and the second airplane is D2.
Since both airplanes are passing vertically above the observing point, we can form two right-angled triangles: one with the first airplane and the observing point, and the other with the second airplane and the observing point.
In the first triangle, the angle of elevation is 60 degrees. Therefore, we can write:
tan(60) = H1 / D1
√3 = 600 / D1
D1 = 600 / √3
In the second triangle, the angle of elevation is also 60 degrees. Therefore, we can write:
tan(60) = H2 / D2
√3 = H2 / D2
Since the second airplane is passing vertically above the first airplane, H2 = H1.
Therefore, we can write:
√3 = H1 / D2
√3 = 600 / D2
D2 = 600 / √3
So, the distance between the observing point and the first airplane (D1) is 600 / √3 meters, and the distance between the observing point and the second airplane (D2) is also 600 / √3 meters.
Free Test
FREE
| Start Free Test |
Community Answer
An aeroplane at a height of 600 m passes vertically above another aero...
Let the aeroplanes are at point A and D respectively. Aeroplane A is flying 600m above the ground.
So, AB = 600.
∠ACB = 60º, ∠DCB = 45º
From ΔABC, AB/BC = tan 60º ⇒ BC = 600/√3 = 200√3
From ΔDCB, DB/BC = tan 45° ⇒ DB = 200√3
So, the distance AD = AB – BD = 600 – 200√3
= 200 (3 – √3) = 200 (3 – 1.7321) = 253.58m.
So, AB = 600.
∠ACB = 60º, ∠DCB = 45º
From ΔABC, AB/BC = tan 60º ⇒ BC = 600/√3 = 200√3
From ΔDCB, DB/BC = tan 45° ⇒ DB = 200√3
So, the distance AD = AB – BD = 600 – 200√3
= 200 (3 – √3) = 200 (3 – 1.7321) = 253.58m.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer?
Question Description
An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer?.
An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer?.
Solutions for An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60º and 45º respectively. How many metres higher is the one from the other ?a)286.53 mb)274.53 mc)253.58 md)263.83 mCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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