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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 11.4, Problem 7E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 7 and 8, state the form of the Law of Sines or the Law of Cosines that you would use to solve the problem. See the figure for Exercises 1 - 8.

a) Find α if you know the values of a, b, and β .

b) Find α if you know the values of a, b, and c.

Chapter 11.4, Problem 7E, In Exercises 7 and 8, state the form of the Law of Sines or the Law of Cosines that you would use to

Exercises 1-8

To determine

a.

To Find:

The angle of α with the sides a, b and the angle β.

Explanation

Formula:

The Law of Sines,

sinαa=sinβb=sinγc

Where α, β, and γ is the acute angle of the triangle, and a, b, and c is the sides of the triangle.

Calculation:

Given,

The dimension of the triangle ABC a, b and angle β.

Here we have two sides and one angle so we use the Law of Sines to find α.

By the Law of Sines,

sinαa=sinβb=sinγc

Take,

sinαa=sinβb

Multiply a on both sides,

a(sin

To determine

b.

To find:

The angle of α with the sides a, b, and c.

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Chapter 11.4,
Problem 6E
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