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A satellite flying at height h is watching the top of the two tallest mountains in Ladakh and Karnataka, them being Saltoro Kangri (7742 m) and Mullayanagiri peak (2637 m). The angle of depression from the satellite, to the top of Saltoro Kangri and Mullayanagiri peak are 30 and 60 degrees respectively. If the distance between the two mountains (DS) is 1938 km and the satellite is vertically above the midpoints of the distance between the two mountains, answer the following questions.
211937
268 969
cos 60 He
F
2
300
Q
R
C
1
S
Saltoro Kangri
Mullayanagiri peak
a) Find the distance of the satellite from the top of Saltoro Kangri.
b) Find the distance of the satellite from the top of Mullayanagiri peak.
c) Find the distance of the satellite from the ground. (√3= 1.732)
OR
What is the angle of elevation, if a man is standing 7742√3 m away from Saltoro Kangri (Point?
A satellite flying at height h is watching the top of the two tallest mountains in Ladakh and Karnataka, them being Saltoro Kangri (7742 m) and Mullayanagiri peak (2637 m). The angle of depression from the satellite, to the top of Saltoro Kangri and Mullayanagiri peak are 30 and 60 degrees respectively. If the distance between the two mountains (DS) is 1938 km and the satellite is vertically above the midpoints of the distance between the two mountains, answer the following questions.
211937
268 969
cos 60 He
F
2
300
Q
R
C
1
S
Saltoro Kangri
Mullayanagiri peak
a) Find the distance of the satellite from the top of Saltoro Kangri.
b) Find the distance of the satellite from the top of Mullayanagiri peak.
c) Find the distance of the satellite from the ground. (√3= 1.732)
OR
What is the angle of elevation, if a man is standing 7742√3 m away from Saltoro Kangri (Point?
Most Upvoted Answer
WhatA satellite flying at height h is watching the top of the two tall...
Distance of the Satellite from Saltoro Kangri
To find the distance from the satellite to the top of Saltoro Kangri, we can use trigonometric relations. Given the angle of depression is 30 degrees, the height of the satellite (h) can be calculated as follows:
- Let the horizontal distance from the satellite to Saltoro Kangri be 'd'.
- We know that tan(30) = height of Saltoro Kangri / d.
- Therefore, d = height of Saltoro Kangri / tan(30).
- Using the height of Saltoro Kangri (7742 m), we find d = 7742 / (1/√3) = 7742√3 m.
Now, calculate the distance (D) from the satellite to Saltoro Kangri using the Pythagorean theorem:
- D = √(d² + h²).
Assuming h is calculated later, we will deduce the final distance.
Distance of the Satellite from Mullayanagiri Peak
Similarly, for Mullayanagiri Peak, where the angle of depression is 60 degrees:
- Let the horizontal distance from the satellite to Mullayanagiri be 'd'.
- tan(60) = height of Mullayanagiri / d.
- Thus, d = height of Mullayanagiri / √3.
- Using the height of Mullayanagiri (2637 m), we have d = 2637 / √3.
Using the same Pythagorean theorem:
- D = √(d² + h²).
Distance of the Satellite from the Ground
To find the height of the satellite (h), we can use the midpoint of the distance between the mountains (DS = 1938 km):
- Midpoint = DS / 2 = 969 km.
- Since tan(30) = h / 969, we can rearrange to find h = 969 * (1/√3).
Now, substituting the value of h into the previous equations will give you the distances D for both mountains.
Angle of Elevation from a Man's Position
If a man is standing 7742√3 m away from Saltoro Kangri, the angle of elevation can be calculated:
- Let the angle be θ.
- tan(θ) = height of Saltoro Kangri / distance to the man.
- Thus, θ = arctan(7742 / (7742√3)) = arctan(1/√3).
- Therefore, θ = 30 degrees.
This concludes our calculations regarding the satellite's position and the angle of elevation.
To find the distance from the satellite to the top of Saltoro Kangri, we can use trigonometric relations. Given the angle of depression is 30 degrees, the height of the satellite (h) can be calculated as follows:
- Let the horizontal distance from the satellite to Saltoro Kangri be 'd'.
- We know that tan(30) = height of Saltoro Kangri / d.
- Therefore, d = height of Saltoro Kangri / tan(30).
- Using the height of Saltoro Kangri (7742 m), we find d = 7742 / (1/√3) = 7742√3 m.
Now, calculate the distance (D) from the satellite to Saltoro Kangri using the Pythagorean theorem:
- D = √(d² + h²).
Assuming h is calculated later, we will deduce the final distance.
Distance of the Satellite from Mullayanagiri Peak
Similarly, for Mullayanagiri Peak, where the angle of depression is 60 degrees:
- Let the horizontal distance from the satellite to Mullayanagiri be 'd'.
- tan(60) = height of Mullayanagiri / d.
- Thus, d = height of Mullayanagiri / √3.
- Using the height of Mullayanagiri (2637 m), we have d = 2637 / √3.
Using the same Pythagorean theorem:
- D = √(d² + h²).
Distance of the Satellite from the Ground
To find the height of the satellite (h), we can use the midpoint of the distance between the mountains (DS = 1938 km):
- Midpoint = DS / 2 = 969 km.
- Since tan(30) = h / 969, we can rearrange to find h = 969 * (1/√3).
Now, substituting the value of h into the previous equations will give you the distances D for both mountains.
Angle of Elevation from a Man's Position
If a man is standing 7742√3 m away from Saltoro Kangri, the angle of elevation can be calculated:
- Let the angle be θ.
- tan(θ) = height of Saltoro Kangri / distance to the man.
- Thus, θ = arctan(7742 / (7742√3)) = arctan(1/√3).
- Therefore, θ = 30 degrees.
This concludes our calculations regarding the satellite's position and the angle of elevation.
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WhatA satellite flying at height h is watching the top of the two tallest mountains in Ladakh and Karnataka, them being Saltoro Kangri (7742 m) and Mullayanagiri peak (2637 m). The angle of depression from the satellite, to the top of Saltoro Kangri and Mullayanagiri peak are 30 and 60 degrees respectively. If the distance between the two mountains (DS) is 1938 km and the satellite is vertically above the midpoints of the distance between the two mountains, answer the following questions.211937268 969cos 60 HeF2300QRC1SSaltoro KangriMullayanagiri peaka) Find the distance of the satellite from the top of Saltoro Kangri.b) Find the distance of the satellite from the top of Mullayanagiri peak.c) Find the distance of the satellite from the ground. (√3= 1.732)ORWhat is the angle of elevation, if a man is standing 7742√3 m away from Saltoro Kangri (Point?
Question Description
WhatA satellite flying at height h is watching the top of the two tallest mountains in Ladakh and Karnataka, them being Saltoro Kangri (7742 m) and Mullayanagiri peak (2637 m). The angle of depression from the satellite, to the top of Saltoro Kangri and Mullayanagiri peak are 30 and 60 degrees respectively. If the distance between the two mountains (DS) is 1938 km and the satellite is vertically above the midpoints of the distance between the two mountains, answer the following questions.211937268 969cos 60 HeF2300QRC1SSaltoro KangriMullayanagiri peaka) Find the distance of the satellite from the top of Saltoro Kangri.b) Find the distance of the satellite from the top of Mullayanagiri peak.c) Find the distance of the satellite from the ground. (√3= 1.732)ORWhat is the angle of elevation, if a man is standing 7742√3 m away from Saltoro Kangri (Point? 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 WhatA satellite flying at height h is watching the top of the two tallest mountains in Ladakh and Karnataka, them being Saltoro Kangri (7742 m) and Mullayanagiri peak (2637 m). The angle of depression from the satellite, to the top of Saltoro Kangri and Mullayanagiri peak are 30 and 60 degrees respectively. If the distance between the two mountains (DS) is 1938 km and the satellite is vertically above the midpoints of the distance between the two mountains, answer the following questions.211937268 969cos 60 HeF2300QRC1SSaltoro KangriMullayanagiri peaka) Find the distance of the satellite from the top of Saltoro Kangri.b) Find the distance of the satellite from the top of Mullayanagiri peak.c) Find the distance of the satellite from the ground. (√3= 1.732)ORWhat is the angle of elevation, if a man is standing 7742√3 m away from Saltoro Kangri (Point? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for WhatA satellite flying at height h is watching the top of the two tallest mountains in Ladakh and Karnataka, them being Saltoro Kangri (7742 m) and Mullayanagiri peak (2637 m). The angle of depression from the satellite, to the top of Saltoro Kangri and Mullayanagiri peak are 30 and 60 degrees respectively. If the distance between the two mountains (DS) is 1938 km and the satellite is vertically above the midpoints of the distance between the two mountains, answer the following questions.211937268 969cos 60 HeF2300QRC1SSaltoro KangriMullayanagiri peaka) Find the distance of the satellite from the top of Saltoro Kangri.b) Find the distance of the satellite from the top of Mullayanagiri peak.c) Find the distance of the satellite from the ground. (√3= 1.732)ORWhat is the angle of elevation, if a man is standing 7742√3 m away from Saltoro Kangri (Point?.
WhatA satellite flying at height h is watching the top of the two tallest mountains in Ladakh and Karnataka, them being Saltoro Kangri (7742 m) and Mullayanagiri peak (2637 m). The angle of depression from the satellite, to the top of Saltoro Kangri and Mullayanagiri peak are 30 and 60 degrees respectively. If the distance between the two mountains (DS) is 1938 km and the satellite is vertically above the midpoints of the distance between the two mountains, answer the following questions.211937268 969cos 60 HeF2300QRC1SSaltoro KangriMullayanagiri peaka) Find the distance of the satellite from the top of Saltoro Kangri.b) Find the distance of the satellite from the top of Mullayanagiri peak.c) Find the distance of the satellite from the ground. (√3= 1.732)ORWhat is the angle of elevation, if a man is standing 7742√3 m away from Saltoro Kangri (Point? 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 WhatA satellite flying at height h is watching the top of the two tallest mountains in Ladakh and Karnataka, them being Saltoro Kangri (7742 m) and Mullayanagiri peak (2637 m). The angle of depression from the satellite, to the top of Saltoro Kangri and Mullayanagiri peak are 30 and 60 degrees respectively. If the distance between the two mountains (DS) is 1938 km and the satellite is vertically above the midpoints of the distance between the two mountains, answer the following questions.211937268 969cos 60 HeF2300QRC1SSaltoro KangriMullayanagiri peaka) Find the distance of the satellite from the top of Saltoro Kangri.b) Find the distance of the satellite from the top of Mullayanagiri peak.c) Find the distance of the satellite from the ground. (√3= 1.732)ORWhat is the angle of elevation, if a man is standing 7742√3 m away from Saltoro Kangri (Point? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for WhatA satellite flying at height h is watching the top of the two tallest mountains in Ladakh and Karnataka, them being Saltoro Kangri (7742 m) and Mullayanagiri peak (2637 m). The angle of depression from the satellite, to the top of Saltoro Kangri and Mullayanagiri peak are 30 and 60 degrees respectively. If the distance between the two mountains (DS) is 1938 km and the satellite is vertically above the midpoints of the distance between the two mountains, answer the following questions.211937268 969cos 60 HeF2300QRC1SSaltoro KangriMullayanagiri peaka) Find the distance of the satellite from the top of Saltoro Kangri.b) Find the distance of the satellite from the top of Mullayanagiri peak.c) Find the distance of the satellite from the ground. (√3= 1.732)ORWhat is the angle of elevation, if a man is standing 7742√3 m away from Saltoro Kangri (Point?.
Solutions for WhatA satellite flying at height h is watching the top of the two tallest mountains in Ladakh and Karnataka, them being Saltoro Kangri (7742 m) and Mullayanagiri peak (2637 m). The angle of depression from the satellite, to the top of Saltoro Kangri and Mullayanagiri peak are 30 and 60 degrees respectively. If the distance between the two mountains (DS) is 1938 km and the satellite is vertically above the midpoints of the distance between the two mountains, answer the following questions.211937268 969cos 60 HeF2300QRC1SSaltoro KangriMullayanagiri peaka) Find the distance of the satellite from the top of Saltoro Kangri.b) Find the distance of the satellite from the top of Mullayanagiri peak.c) Find the distance of the satellite from the ground. (√3= 1.732)ORWhat is the angle of elevation, if a man is standing 7742√3 m away from Saltoro Kangri (Point? in English & in Hindi are available as part of our courses for Class 10.
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