Find the distances between the following places, also the bearing of each from the other. Latitudes and longitudes are given at the end of the set of exercises. 1. New York and San Francisco. 2. New York and Paris. 3. New York and Cape of Good Hope. 4. San Francisco and Sydney. 5. San Francisco and Rio de Janeiro. 6. New York and Rio de Janeiro. 7. Rio de Janeiro and Sydney. 8. Moscow and San Francisco. 9. How close to the north pole does the great circle path of the

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Course: Geodetic Engineering

Subject: Geometric Geodesy

show the solution and illustrate no. 1,3,5,7,9,11, and 13 

EXERCISES XVII. A
Find the distances between the following places, also the
bearing of each from the other. Latitudes and longitudes
are given at the end of the set of exercises.
1. New York and San Francisco.
2. New York and Paris.
3. New York and Cape of Good Hope.
4. San Francisco and Sydney.
5. San Francisco and Rio de Janeiro.
6. New York and Rio de Janeiro.
7. Rio de Janeiro and Sydney.
8. Moscow and San Francisco.
9. How close to the north pole does the great circle path of the
preceding exercise pass?
10. A ship sailed due east from New York to a point on the
meridian of 10° W near Portugal. Find the distance it would
have saved if it had sailed along the arc of a great circle.
11. A ship sails from New York to Cape of Good Hope along the
are of a great circle. Find its course (i.e., direction) (a) when
it crosses the equator, (b) when it crosses the meridian of
10° W. (Use results of exercise 3.)
12. Find the area of the triangle whose vertices are New York,
San Francisco, and Rio de Janeiro.
cises 1, 5, 6.)
(Use results of exer-
13. An airplane flies from New York to Chicago in 3 hours and
45 minutes. What is its average rate of speed in statute miles
per hour?
14. An airplane flew from Chicago to San Francisco at an aver-
age speed of 180 statute miles per hour. How long did the
flight take?
Cape of Good Hope
Chicago
Moscow
New York
Paris
Rio de Janeiro
San Francisco
Sydney
Latitude
34° 21' S
41° 50' N
55° 45' N
40° 43' N
48° 50' N
22° 54' S
37° 47' N
33° 52' S
Longitude
18° 30' E
87° 37' W
37° 34' E
74° 0' W
2° 20' E
43° 10' W
122° 26' W
151° 12' E
ANSWERS:
Exercises XVII. A, page 238
Distances are given in nautical miles. To convert to statute miles,
multiply by 1.1516. In Exercises 1-7 the first direction is the bearing of
the second point from the first, the second direction is the bearing of the
first point from the second.
1. 2229, N 78° 19′ W, N 69° 54' E. 3. 6797, S 63° 54' E, N 55° 32′ W.
5. 5754, S 65° 29' E, N 51° 19' W. 7. 7297, S 14° 0' W, S 15° 34' E.
9. 527 mi. 11. (a) S 42° 54' E; (b) S 44° 0' E. 13. 190.
Transcribed Image Text:EXERCISES XVII. A Find the distances between the following places, also the bearing of each from the other. Latitudes and longitudes are given at the end of the set of exercises. 1. New York and San Francisco. 2. New York and Paris. 3. New York and Cape of Good Hope. 4. San Francisco and Sydney. 5. San Francisco and Rio de Janeiro. 6. New York and Rio de Janeiro. 7. Rio de Janeiro and Sydney. 8. Moscow and San Francisco. 9. How close to the north pole does the great circle path of the preceding exercise pass? 10. A ship sailed due east from New York to a point on the meridian of 10° W near Portugal. Find the distance it would have saved if it had sailed along the arc of a great circle. 11. A ship sails from New York to Cape of Good Hope along the are of a great circle. Find its course (i.e., direction) (a) when it crosses the equator, (b) when it crosses the meridian of 10° W. (Use results of exercise 3.) 12. Find the area of the triangle whose vertices are New York, San Francisco, and Rio de Janeiro. cises 1, 5, 6.) (Use results of exer- 13. An airplane flies from New York to Chicago in 3 hours and 45 minutes. What is its average rate of speed in statute miles per hour? 14. An airplane flew from Chicago to San Francisco at an aver- age speed of 180 statute miles per hour. How long did the flight take? Cape of Good Hope Chicago Moscow New York Paris Rio de Janeiro San Francisco Sydney Latitude 34° 21' S 41° 50' N 55° 45' N 40° 43' N 48° 50' N 22° 54' S 37° 47' N 33° 52' S Longitude 18° 30' E 87° 37' W 37° 34' E 74° 0' W 2° 20' E 43° 10' W 122° 26' W 151° 12' E ANSWERS: Exercises XVII. A, page 238 Distances are given in nautical miles. To convert to statute miles, multiply by 1.1516. In Exercises 1-7 the first direction is the bearing of the second point from the first, the second direction is the bearing of the first point from the second. 1. 2229, N 78° 19′ W, N 69° 54' E. 3. 6797, S 63° 54' E, N 55° 32′ W. 5. 5754, S 65° 29' E, N 51° 19' W. 7. 7297, S 14° 0' W, S 15° 34' E. 9. 527 mi. 11. (a) S 42° 54' E; (b) S 44° 0' E. 13. 190.
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