   Chapter 11.4, Problem 21E 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 17 to 22, use a form of the Law of Sines to find the measure of the indicated side or angle. Angle measures should be found to the nearest degree and lengths of sides to the nearest tenth of a unit. To determine

To find:

The angle of the given triangle by 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,

From the triangle

b=12 in.,

c=10 in.,

β=80°

Find γ:

By the Law of Sines,

sinαa=sinβb=sinγc

Take,

sinαa=sinγc

Here, b=12 in., c=10 in., and β=80°

sin80°12=sinγ10

0

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