Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
For each set of three angle measures of a triangle given, does the triangle exist in Euclidean geometry, spherical geometry, or neither? 3. 79°, 45°, 45° 4. 33°, 87°, 60° 6. 21°, 121°, 221° 7. 30°, 40°, 50° 5. 100°, 100°, 100° SG 8. 100°, 40°, 40°

For each set of three angle measures of a triangle given, does the triangle exist in Euclidean geometry, spherical geometry, or neither? 3. 79°, 45°, 45° 4. 33°, 87°, 60° 6. 21°, 121°, 221° 7. 30°, 40°, 50° 5. 100°, 100°, 100° SG 8. 100°, 40°, 40°

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Plese provide the steps and answer to questions 6, 7 and 8.
angles förffle In Euclidean geometry, the lines that form a triangle are straight and their sum always equals 180°. This is proved by the Euclidean Geometry Triangle Angle-Sum Theorem. Problem An airline is mapping routes for its international flights. One route leaves from Raleigh-Durham International Airport in the United States, travels to Heathrow Airport in London, then to Alexandria International Airport in Egypt, and finally returns to Raleigh-Durham. This trip forms a triangular route. Is this triangle Euclidean, spherical, or neither? Spherical; since the path of the airplane is curved, the angles formed will also be curved, and since the earth can be considered a sphere, the triangle is spherical. Exercises For each set of three angle measures of a triangle given, does the triangle exist in Euclidean geometry, spherical geometry, or neither? 3. 79°, 45°, 45° 4. 33°, 87°, 60° 6. 21°, 121°, 221° 9. 30°, 60°, 90° 7. 30°, 40°, 50° 10. 70°, 111°, 68° 5. 100°, 100°, 100° SG 8. 100°, 40°, 40° 11. 100°, 80°, 80° 12. Are lines of latitude examples of great circles? Are lines of longitude examples of great circ Explain.
Transcribed Image Text:angles förffle In Euclidean geometry, the lines that form a triangle are straight and their sum always equals 180°. This is proved by the Euclidean Geometry Triangle Angle-Sum Theorem. Problem An airline is mapping routes for its international flights. One route leaves from Raleigh-Durham International Airport in the United States, travels to Heathrow Airport in London, then to Alexandria International Airport in Egypt, and finally returns to Raleigh-Durham. This trip forms a triangular route. Is this triangle Euclidean, spherical, or neither? Spherical; since the path of the airplane is curved, the angles formed will also be curved, and since the earth can be considered a sphere, the triangle is spherical. Exercises For each set of three angle measures of a triangle given, does the triangle exist in Euclidean geometry, spherical geometry, or neither? 3. 79°, 45°, 45° 4. 33°, 87°, 60° 6. 21°, 121°, 221° 9. 30°, 60°, 90° 7. 30°, 40°, 50° 10. 70°, 111°, 68° 5. 100°, 100°, 100° SG 8. 100°, 40°, 40° 11. 100°, 80°, 80° 12. Are lines of latitude examples of great circles? Are lines of longitude examples of great circ Explain.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS