   Chapter 11.4, Problem 3E 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 a = 5 ,   b = 8 ,  and  α = 40 ∘ . b) Find c if it is known that a = 5.3   α = 41 ∘ ,  and  γ =87 ∘ Exercises 1-8

To determine

a.

To Find:

The angle β using the 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, a=5

b=8 and

α=40

To determine

b.

To Find:

The side c using the Law of Sines.

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