Class 9 Exam > Class 9 Questions > A Satellite flying at height h is watching th...
Start Learning for Free
A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.?
Most Upvoted Answer
A Satellite flying at height h is watching the top of the two tallest ...
Given information:
- Height of Nanda Devi (ND) = 7,816 m
- Height of Mullayanagiri (M) = 1,930 m
- Angle of depression from the satellite to ND = 30°
- Angle of depression from the satellite to M = 60°
- Distance between the peaks of ND and M = 1937 km
- Satellite is vertically above the midpoint of the distance
Let's solve the problem step by step:
Step 1: Finding the distance of the satellite from the midpoint of ND and M
- We know that the satellite is vertically above the midpoint of the distance between ND and M.
- Therefore, the distance from the satellite to the midpoint of ND and M is half of the total distance between ND and M.
- So, the distance from the satellite to the midpoint = (1937 km) / 2 = 968.5 km
Step 2: Finding the height of the satellite from the ground
- In a right-angled triangle, the angle of depression is the angle formed between the horizontal line and the line of sight from the observer to the object below.
- We can use trigonometry to find the height of the satellite from the ground.
- Let's consider the triangle formed by the satellite, ND's peak, and the ground.
- In this triangle, the angle of depression is 30°, the height of ND is 7,816 m, and the distance from the satellite to the midpoint of ND and M is 968.5 km.
- Using the tangent function, we can find the height of the satellite from the ground.
- tan(30°) = height of ND / distance from the satellite to the midpoint
- tan(30°) = 7,816 m / 968.5 km
- height of ND = tan(30°) * 968.5 km
- height of ND ≈ 560.12 km
Step 3: Finding the height of the satellite above Mullayanagiri
- Similarly, let's consider the triangle formed by the satellite, M's peak, and the ground.
- In this triangle, the angle of depression is 60°, the height of M is 1,930 m, and the distance from the satellite to the midpoint of ND and M is 968.5 km.
- Using the tangent function, we can find the height of the satellite above M.
- tan(60°) = height of M / distance from the satellite to the midpoint
- tan(60°) = 1,930 m / 968.5 km
- height of M = tan(60°) * 968.5 km
- height of M ≈ 1676.42 km
Step 4: Conclusion
- The height of the satellite above Nanda Devi is approximately 560.12 km.
- The height of the satellite above Mullayanagiri is approximately 1676.42 km.
- The satellite is vertically above the midpoint of the distance between the two mountains.
- Hence, the satellite is at a height of 560.12 km above Nanda Devi and 1676.42 km above Mullayanagiri.
- Height of Nanda Devi (ND) = 7,816 m
- Height of Mullayanagiri (M) = 1,930 m
- Angle of depression from the satellite to ND = 30°
- Angle of depression from the satellite to M = 60°
- Distance between the peaks of ND and M = 1937 km
- Satellite is vertically above the midpoint of the distance
Let's solve the problem step by step:
Step 1: Finding the distance of the satellite from the midpoint of ND and M
- We know that the satellite is vertically above the midpoint of the distance between ND and M.
- Therefore, the distance from the satellite to the midpoint of ND and M is half of the total distance between ND and M.
- So, the distance from the satellite to the midpoint = (1937 km) / 2 = 968.5 km
Step 2: Finding the height of the satellite from the ground
- In a right-angled triangle, the angle of depression is the angle formed between the horizontal line and the line of sight from the observer to the object below.
- We can use trigonometry to find the height of the satellite from the ground.
- Let's consider the triangle formed by the satellite, ND's peak, and the ground.
- In this triangle, the angle of depression is 30°, the height of ND is 7,816 m, and the distance from the satellite to the midpoint of ND and M is 968.5 km.
- Using the tangent function, we can find the height of the satellite from the ground.
- tan(30°) = height of ND / distance from the satellite to the midpoint
- tan(30°) = 7,816 m / 968.5 km
- height of ND = tan(30°) * 968.5 km
- height of ND ≈ 560.12 km
Step 3: Finding the height of the satellite above Mullayanagiri
- Similarly, let's consider the triangle formed by the satellite, M's peak, and the ground.
- In this triangle, the angle of depression is 60°, the height of M is 1,930 m, and the distance from the satellite to the midpoint of ND and M is 968.5 km.
- Using the tangent function, we can find the height of the satellite above M.
- tan(60°) = height of M / distance from the satellite to the midpoint
- tan(60°) = 1,930 m / 968.5 km
- height of M = tan(60°) * 968.5 km
- height of M ≈ 1676.42 km
Step 4: Conclusion
- The height of the satellite above Nanda Devi is approximately 560.12 km.
- The height of the satellite above Mullayanagiri is approximately 1676.42 km.
- The satellite is vertically above the midpoint of the distance between the two mountains.
- Hence, the satellite is at a height of 560.12 km above Nanda Devi and 1676.42 km above Mullayanagiri.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.?
Question Description
A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.?.
A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.?.
Solutions for A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.? defined & explained in the simplest way possible. Besides giving the explanation of
A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.?, a detailed solution for A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.? has been provided alongside types of A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.? theory, EduRev gives you an
ample number of questions to practice A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30� and 60� respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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