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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.
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.
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...
Calculating Distances from the Satellite
To find the distances from the satellite to the peaks of Saltoro Kangri and Mullayanagiri, we will use trigonometric principles based on the angles of depression provided.
Distance of the Satellite from Saltoro Kangri
- Given that the angle of depression to Saltoro Kangri is 30 degrees, we can use the tangent function:
- Height of Saltoro Kangri = 7742 m
- Let h be the height of the satellite above the ground.
- The distance from the satellite to the top of Saltoro Kangri (D_SG) can be calculated using:
D_SG = h / cos(30)
Since cos(30) = √3/2,
D_SG = h / (√3/2) = (2h) / √3
Distance of the Satellite from Mullayanagiri Peak
- The angle of depression to Mullayanagiri is 60 degrees:
- Height of Mullayanagiri = 2637 m
- The distance from the satellite to Mullayanagiri (D_MP) is calculated similarly:
D_MP = h / cos(60)
Since cos(60) = 1/2,
D_MP = h / (1/2) = 2h
Finding the Height of the Satellite
- To find h, we can establish the relationship between the distances and the heights of the mountains:
Using the relationship of the distances and the height, we can set up the equation based on the midpoint and the height differences from the satellite to each mountain.
The total horizontal distance between the two mountains is 1938 km or 1,938,000 meters. Therefore, the midpoint distance (x) to each peak is:
x = 1,938,000 / 2 = 969,000 m
- Setting up the equations using the tangent function for both angles and solving for h will yield the height of the satellite.
Angle of Elevation Calculation
- If a man is standing 7742√3 m away from Saltoro Kangri, we can find the angle of elevation (θ) using the formula:
tan(θ) = height / distance
- Here, the height is 7742 m and the distance is 7742√3 m:
θ = tan⁻¹(7742 / (7742√3))
Simplifying gives θ = 30 degrees, indicating that the angle of elevation is 30 degrees.
This detailed breakdown provides a comprehensive understanding of the distances and angles involved in the problem.
To find the distances from the satellite to the peaks of Saltoro Kangri and Mullayanagiri, we will use trigonometric principles based on the angles of depression provided.
Distance of the Satellite from Saltoro Kangri
- Given that the angle of depression to Saltoro Kangri is 30 degrees, we can use the tangent function:
- Height of Saltoro Kangri = 7742 m
- Let h be the height of the satellite above the ground.
- The distance from the satellite to the top of Saltoro Kangri (D_SG) can be calculated using:
D_SG = h / cos(30)
Since cos(30) = √3/2,
D_SG = h / (√3/2) = (2h) / √3
Distance of the Satellite from Mullayanagiri Peak
- The angle of depression to Mullayanagiri is 60 degrees:
- Height of Mullayanagiri = 2637 m
- The distance from the satellite to Mullayanagiri (D_MP) is calculated similarly:
D_MP = h / cos(60)
Since cos(60) = 1/2,
D_MP = h / (1/2) = 2h
Finding the Height of the Satellite
- To find h, we can establish the relationship between the distances and the heights of the mountains:
Using the relationship of the distances and the height, we can set up the equation based on the midpoint and the height differences from the satellite to each mountain.
The total horizontal distance between the two mountains is 1938 km or 1,938,000 meters. Therefore, the midpoint distance (x) to each peak is:
x = 1,938,000 / 2 = 969,000 m
- Setting up the equations using the tangent function for both angles and solving for h will yield the height of the satellite.
Angle of Elevation Calculation
- If a man is standing 7742√3 m away from Saltoro Kangri, we can find the angle of elevation (θ) using the formula:
tan(θ) = height / distance
- Here, the height is 7742 m and the distance is 7742√3 m:
θ = tan⁻¹(7742 / (7742√3))
Simplifying gives θ = 30 degrees, indicating that the angle of elevation is 30 degrees.
This detailed breakdown provides a comprehensive understanding of the distances and angles involved in the problem.
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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.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)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.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)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.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)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.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)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.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)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.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)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.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)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.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)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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