Concept explainers
(a)
Find the distance below Earth surface where vertex of the cone is located.
(a)
Answer to Problem 4BE
10,000 ft.
Explanation of Solution
Given:
A good approximation of the detailed landing procedure uses a Heading Alignment Cone with vertex below the surface of the Earth.A typical radius of the cone at a height of 30,000 ft. above the Earth’s surface is 20,000 ft.At a height of 12,000 ft., which is a typical height for Q, the radius of the cone is 14,000 ft.
Calculation:
The given situation is :
Consider
Since
So, by AA Similarity Postulate ,
Hence,
Hence, the vertex is 10,000 ft. below the Earth’s Surface.
(b)
Find the radius of cone at a height of 15,000 ft. above Earth’s Surface.
(b)
Answer to Problem 4BE
12,500 ft.
Explanation of Solution
Given:
A good approximation of the detailed landing procedure uses a Heading Alignment Cone with vertex below the surface of the Earth.A typical radius of the cone at a height of 30,000 ft. above the Earth’s surface is 20,000 ft.At a height of 12,000 ft., which is a typical height for Q, the radius of the cone is 14,000 ft.
Calculation:
From part (a) , the vertex is 10,000 ft. below Earth’s Surface.
The given situation is :
Consider
Since
So, by AA Similarity Postulate ,
Hence,
Hence, the radius of cone at a height of 15,000 ft. above Earth’s Surface is 12,500 ft.
(c)
Find the height above Earth’s Surface at which the radius of the cone is 12,000 ft.
(c)
Answer to Problem 4BE
14,000 ft.
Explanation of Solution
Given:
A good approximation of the detailed landing procedure uses a Heading Alignment Cone with vertex below the surface of the Earth.A typical radius of the cone at a height of 30,000 ft. above the Earth’s surface is 20,000 ft.At a height of 12,000 ft., which is a typical height for Q, the radius of the cone is 14,000 ft.
Calculation:
From part (a) , the vertex is 10,000 ft. below Earth’s Surface.
The given situation is :
Consider
Since
So, by AA Similarity Postulate ,
Hence,
Hence, at a height of 14,000 ft. above Earth’s Surface the radius of the cone is 12,000 ft .
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