   Chapter 11.4, Problem 22E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# 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 measure of a side in a given triangle, by using the law of sines.

Explanation

Concept:

The Law of Sines,

sinαa=sinβb=sinγc

Where α, β, and γ are the acute angles of the triangle, and a, b, and c are the sides of the triangle.

Calculation:

Given:

From the triangle

a=5ft

c=x ft,

β=65°

γ=70°

Find α:

For and triangle,

α+β+γ=180

Here, β=65 and γ=70

α+65+70=180

α+135=180

α+135+(135)=180+(135)

α+135135=18013

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