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High School Math Geometry McDougal Littell Jurgensen Geometry: Student Edition Geometry

the construction of 30 ° angle .

the construction of 30 ° angle .

McDougal Littell Jurgensen Geometry: Student Edition Geometry

McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Concept explainers

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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Question

Chapter 10.1, Problem 3CE

To determine

To explain: the construction of 30° angle.

Expert Solution & Answer

Explanation of Solution

Draw PQ¯ .Consider P as center draw an arc on PQ at some point. Mark that point as L . Then draw another arc with L as center. There is intersection point in which both the first and second arcs intersect. Mark that point as M . Draw third arc with M as center, which cuts the second arc. Mark that point as N . Join the points PN as part of ray PR .

∠PQR it will be 30 degree.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.1, Problem 3CE

Chapter 10.1, Problem 2CE

Chapter 10.1, Problem 4CE

Chapter 10 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 10.1 - Prob. 1CE Ch. 10.1 - Prob. 2CE Ch. 10.1 - Prob. 3CE Ch. 10.1 - Prob. 4CE Ch. 10.1 - Prob. 5CE Ch. 10.1 - Prob. 6CE Ch. 10.1 - Prob. 1WE Ch. 10.1 - Prob. 2WE Ch. 10.1 - Prob. 3WE Ch. 10.1 - Prob. 4WE

Ch. 10.1 - Prob. 5WE Ch. 10.1 - Prob. 6WE Ch. 10.1 - Prob. 7WE Ch. 10.1 - Prob. 8WE Ch. 10.1 - Prob. 9WE Ch. 10.1 - Prob. 10WE Ch. 10.1 - Prob. 11WE Ch. 10.1 - Prob. 12WE Ch. 10.1 - Prob. 13WE Ch. 10.1 - Prob. 14WE Ch. 10.1 - Prob. 15WE Ch. 10.1 - Prob. 16WE Ch. 10.1 - Prob. 17WE Ch. 10.1 - Prob. 18WE Ch. 10.1 - Prob. 19WE Ch. 10.1 - Prob. 20WE Ch. 10.1 - Prob. 21WE Ch. 10.1 - Prob. 22WE Ch. 10.1 - Prob. 23WE Ch. 10.1 - Prob. 24WE Ch. 10.1 - Prob. 25WE Ch. 10.1 - Prob. 26WE Ch. 10.1 - Prob. 1MRE Ch. 10.1 - Prob. 2MRE Ch. 10.1 - Prob. 3MRE Ch. 10.1 - Prob. 4MRE Ch. 10.1 - Prob. 5MRE Ch. 10.1 - Prob. 6MRE Ch. 10.2 - Prob. 1CE Ch. 10.2 - Prob. 2CE Ch. 10.2 - Prob. 3CE Ch. 10.2 - Prob. 4CE Ch. 10.2 - Prob. 5CE Ch. 10.2 - Prob. 6CE Ch. 10.2 - Prob. 7CE Ch. 10.2 - Prob. 8CE Ch. 10.2 - Prob. 9CE Ch. 10.2 - Prob. 10CE Ch. 10.2 - Prob. 11CE Ch. 10.2 - Prob. 12CE Ch. 10.2 - Prob. 13CE Ch. 10.2 - Prob. 1WE Ch. 10.2 - Prob. 2WE Ch. 10.2 - Prob. 3WE Ch. 10.2 - Prob. 4WE Ch. 10.2 - Prob. 5WE Ch. 10.2 - Prob. 6WE Ch. 10.2 - Prob. 7WE Ch. 10.2 - Prob. 8WE Ch. 10.2 - Prob. 9WE Ch. 10.2 - Prob. 10WE Ch. 10.2 - Prob. 11WE Ch. 10.2 - Prob. 12WE Ch. 10.2 - Prob. 13WE Ch. 10.2 - Prob. 14WE Ch. 10.2 - Prob. 15WE Ch. 10.2 - Prob. 16WE Ch. 10.2 - Prob. 17WE Ch. 10.2 - Prob. 18WE Ch. 10.2 - Prob. 19WE Ch. 10.2 - Prob. 20WE Ch. 10.2 - Prob. 21WE Ch. 10.2 - Prob. 22WE Ch. 10.2 - Prob. 23WE Ch. 10.2 - Prob. 24WE Ch. 10.2 - Prob. 25WE Ch. 10.2 - Prob. 26WE Ch. 10.2 - Prob. 27WE Ch. 10.2 - Prob. 28WE Ch. 10.2 - Prob. 1EX Ch. 10.2 - Prob. 2EX Ch. 10.2 - Prob. 3EX Ch. 10.3 - Prob. 1CE Ch. 10.3 - Prob. 2CE Ch. 10.3 - Prob. 3CE Ch. 10.3 - Prob. 4CE Ch. 10.3 - Prob. 5CE Ch. 10.3 - Prob. 6CE Ch. 10.3 - Prob. 1WE Ch. 10.3 - Prob. 2WE Ch. 10.3 - Prob. 3WE Ch. 10.3 - Prob. 4WE Ch. 10.3 - Prob. 5WE Ch. 10.3 - Prob. 6WE Ch. 10.3 - Prob. 7WE Ch. 10.3 - Prob. 8WE Ch. 10.3 - Prob. 9WE Ch. 10.3 - Prob. 10WE Ch. 10.3 - Prob. 11WE Ch. 10.3 - Prob. 12WE Ch. 10.3 - Prob. 13WE Ch. 10.3 - Prob. 14WE Ch. 10.3 - Prob. 15WE Ch. 10.3 - Prob. 16WE Ch. 10.3 - Prob. 17WE Ch. 10.3 - Prob. 1ST1 Ch. 10.3 - Prob. 2ST1 Ch. 10.3 - Prob. 3ST1 Ch. 10.3 - Prob. 4ST1 Ch. 10.3 - Prob. 5ST1 Ch. 10.3 - Prob. 6ST1 Ch. 10.3 - Prob. 7ST1 Ch. 10.3 - Prob. 8ST1 Ch. 10.3 - Prob. 1E Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 1MRE Ch. 10.3 - Prob. 2MRE Ch. 10.3 - Prob. 3MRE Ch. 10.3 - Prob. 1EX Ch. 10.3 - Prob. 2EX Ch. 10.4 - Prob. 1CE Ch. 10.4 - Prob. 2CE Ch. 10.4 - Prob. 3CE Ch. 10.4 - Prob. 4CE Ch. 10.4 - Prob. 5CE Ch. 10.4 - Prob. 6CE Ch. 10.4 - Prob. 7CE Ch. 10.4 - Prob. 1WE Ch. 10.4 - Prob. 2WE Ch. 10.4 - Prob. 3WE Ch. 10.4 - Prob. 4WE Ch. 10.4 - Prob. 5WE Ch. 10.4 - Prob. 6WE Ch. 10.4 - Prob. 7WE Ch. 10.4 - Prob. 8WE Ch. 10.4 - Prob. 9WE Ch. 10.4 - Prob. 10WE Ch. 10.4 - Prob. 11WE Ch. 10.4 - Prob. 12WE Ch. 10.4 - Prob. 13WE Ch. 10.4 - Prob. 14WE Ch. 10.4 - Prob. 15WE Ch. 10.4 - Prob. 16WE Ch. 10.4 - Prob. 17WE Ch. 10.4 - Prob. 18WE Ch. 10.4 - Prob. 19WE Ch. 10.4 - Prob. 20WE Ch. 10.4 - Prob. 21WE Ch. 10.5 - Prob. 1CE Ch. 10.5 - Prob. 2CE Ch. 10.5 - Prob. 3CE Ch. 10.5 - Prob. 4CE Ch. 10.5 - Prob. 5CE Ch. 10.5 - Prob. 6CE Ch. 10.5 - Prob. 7CE Ch. 10.5 - Prob. 8CE Ch. 10.5 - Prob. 9CE Ch. 10.5 - Prob. 10CE Ch. 10.5 - Prob. 11CE Ch. 10.5 - Prob. 1WE Ch. 10.5 - Prob. 2WE Ch. 10.5 - Prob. 3WE Ch. 10.5 - Prob. 4WE Ch. 10.5 - Prob. 5WE Ch. 10.5 - Prob. 6WE Ch. 10.5 - Prob. 7WE Ch. 10.5 - Prob. 8WE Ch. 10.5 - Prob. 9WE Ch. 10.5 - Prob. 10WE Ch. 10.5 - Prob. 11WE Ch. 10.5 - Prob. 12WE Ch. 10.5 - Prob. 13WE Ch. 10.5 - Prob. 14WE Ch. 10.5 - Prob. 15WE Ch. 10.5 - Prob. 16WE Ch. 10.5 - Prob. 17WE Ch. 10.5 - Prob. 18WE Ch. 10.5 - Prob. 1ST2 Ch. 10.5 - Prob. 2ST2 Ch. 10.5 - Prob. 3ST2 Ch. 10.5 - Prob. 4ST2 Ch. 10.5 - Prob. 5ST2 Ch. 10.5 - Prob. 6ST2 Ch. 10.5 - Prob. 7ST2 Ch. 10.6 - Prob. 1CE Ch. 10.6 - Prob. 2CE Ch. 10.6 - Prob. 3CE Ch. 10.6 - Prob. 4CE Ch. 10.6 - Prob. 5CE Ch. 10.6 - Prob. 6CE Ch. 10.6 - Prob. 7CE Ch. 10.6 - Prob. 8CE Ch. 10.6 - Prob. 9CE Ch. 10.6 - Prob. 10CE Ch. 10.6 - Prob. 11CE Ch. 10.6 - Prob. 12CE Ch. 10.6 - Prob. 1WE Ch. 10.6 - Prob. 2WE Ch. 10.6 - Prob. 3WE Ch. 10.6 - Prob. 4WE Ch. 10.6 - Prob. 5WE Ch. 10.6 - Prob. 6WE Ch. 10.6 - Prob. 7WE Ch. 10.6 - Prob. 8WE Ch. 10.6 - Prob. 9WE Ch. 10.6 - Prob. 10WE Ch. 10.6 - Prob. 11WE Ch. 10.6 - Prob. 12WE Ch. 10.6 - Prob. 13WE Ch. 10.6 - Prob. 14WE Ch. 10.6 - Prob. 15WE Ch. 10.6 - Prob. 16WE Ch. 10.6 - Prob. 17WE Ch. 10.6 - Prob. 18WE Ch. 10.6 - Prob. 19WE Ch. 10.6 - Prob. 20WE Ch. 10.6 - Prob. 21WE Ch. 10.6 - Prob. 22WE Ch. 10.6 - Prob. 23WE Ch. 10.6 - Prob. 24WE Ch. 10.7 - Prob. 1CE Ch. 10.7 - Prob. 2CE Ch. 10.7 - Prob. 3CE Ch. 10.7 - Prob. 4CE Ch. 10.7 - Prob. 5CE Ch. 10.7 - Prob. 6CE Ch. 10.7 - Prob. 7CE Ch. 10.7 - Prob. 8CE Ch. 10.7 - Prob. 9CE Ch. 10.7 - Prob. 10CE Ch. 10.7 - Prob. 1WE Ch. 10.7 - Prob. 2WE Ch. 10.7 - Prob. 3WE Ch. 10.7 - Prob. 4WE Ch. 10.7 - Prob. 5WE Ch. 10.7 - Prob. 6WE Ch. 10.7 - Prob. 7WE Ch. 10.7 - Prob. 8WE Ch. 10.7 - Prob. 9WE Ch. 10.7 - Prob. 10WE Ch. 10.7 - Prob. 11WE Ch. 10.7 - Prob. 12WE Ch. 10.7 - Prob. 13WE Ch. 10.7 - Prob. 14WE Ch. 10.7 - Prob. 15WE Ch. 10.7 - Prob. 16WE Ch. 10.7 - Prob. 17WE Ch. 10.7 - Prob. 18WE Ch. 10.7 - Prob. 19WE Ch. 10.7 - Prob. 20WE Ch. 10.7 - Prob. 21WE Ch. 10.7 - Prob. 22WE Ch. 10.7 - Prob. 23WE Ch. 10.7 - Prob. 24WE Ch. 10.8 - Prob. 1CE Ch. 10.8 - Prob. 2CE Ch. 10.8 - Prob. 1WE Ch. 10.8 - Prob. 2WE Ch. 10.8 - Prob. 3WE Ch. 10.8 - Prob. 4WE Ch. 10.8 - Prob. 5WE Ch. 10.8 - Prob. 6WE Ch. 10.8 - Prob. 7WE Ch. 10.8 - Prob. 8WE Ch. 10.8 - Prob. 9WE Ch. 10.8 - Prob. 10WE Ch. 10.8 - Prob. 11WE Ch. 10.8 - Prob. 12WE Ch. 10.8 - Prob. 13WE Ch. 10.8 - Prob. 14WE Ch. 10.8 - Prob. 15WE Ch. 10.8 - Prob. 16WE Ch. 10.8 - Prob. 17WE Ch. 10.8 - Prob. 18WE Ch. 10.8 - Prob. 19WE Ch. 10.8 - Prob. 1ST3 Ch. 10.8 - Prob. 2ST3 Ch. 10.8 - Prob. 3ST3 Ch. 10.8 - Prob. 4ST3 Ch. 10.8 - Prob. 5ST3 Ch. 10.8 - Prob. 6ST3 Ch. 10.8 - Prob. 7ST3 Ch. 10.8 - Prob. 1E Ch. 10.8 - Prob. 2E Ch. 10.8 - Prob. 3E Ch. 10.8 - Prob. 4E Ch. 10.8 - Prob. 5E Ch. 10.8 - Prob. 6E Ch. 10 - Prob. 1CR Ch. 10 - Prob. 2CR Ch. 10 - Prob. 3CR Ch. 10 - Prob. 4CR Ch. 10 - Prob. 5CR Ch. 10 - Prob. 6CR Ch. 10 - Prob. 7CR Ch. 10 - Prob. 8CR Ch. 10 - Prob. 9CR Ch. 10 - Prob. 10CR Ch. 10 - Prob. 11CR Ch. 10 - Prob. 12CR Ch. 10 - Prob. 13CR Ch. 10 - Prob. 14CR Ch. 10 - Prob. 15CR Ch. 10 - Prob. 16CR Ch. 10 - Prob. 17CR Ch. 10 - Prob. 18CR Ch. 10 - Prob. 19CR Ch. 10 - Prob. 20CR Ch. 10 - Prob. 21CR Ch. 10 - Prob. 22CR Ch. 10 - Prob. 23CR Ch. 10 - Prob. 24CR Ch. 10 - Prob. 25CR Ch. 10 - Prob. 26CR Ch. 10 - Prob. 27CR Ch. 10 - Prob. 1CT Ch. 10 - Prob. 2CT Ch. 10 - Prob. 3CT Ch. 10 - Prob. 4CT Ch. 10 - Prob. 5CT Ch. 10 - Prob. 6CT Ch. 10 - Prob. 7CT Ch. 10 - Prob. 8CT Ch. 10 - Prob. 9CT Ch. 10 - Prob. 10CT Ch. 10 - Prob. 11CT Ch. 10 - Prob. 12CT Ch. 10 - Prob. 1AR Ch. 10 - Prob. 2AR Ch. 10 - Prob. 3AR Ch. 10 - Prob. 4AR Ch. 10 - Prob. 5AR Ch. 10 - Prob. 6AR Ch. 10 - Prob. 7AR Ch. 10 - Prob. 8AR Ch. 10 - Prob. 9AR Ch. 10 - Prob. 10AR Ch. 10 - Prob. 11AR Ch. 10 - Prob. 12AR Ch. 10 - Prob. 13AR Ch. 10 - Prob. 14AR Ch. 10 - Prob. 15AR Ch. 10 - 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