   Chapter 11.4, Problem 4E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 3 and 4, state the form of the Law of Sines used to solve the problem. Give the answer in a form such as sin   72 ∘ 6.3 = sin   55 ∘ a a) Find β if it is known that b = 8.1 ,   c = 8.4 ,  and  γ = 86 ∘ . b) Find c if it is known that a = 5.3   α = 40 ∘ ,  and  β =80 ∘ Exercises 1-8

To determine

a.

To Find:

The angle β by using Law of Sines.

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:

In ABC, b=8.1

c=8.4 and

γ=86

To determine

b.

To Find:

The side c by using the Law of Sines.

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