   Chapter 11.CT, Problem 18CT 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

Use the Law of Sines or the Law of Cosines to find α to the nearest degree. To determine

To find:

The value of α to the nearest degree by using the Law of Sines or the Law of Cosines.

Explanation

Given:

The diagram as below.

Theorem:

In any acute triangle, the three ratios between the sines of the angles and the lengths of the opposite sides are equal and is given by sinαa=sin βb=sinγc or asinα=bsin β=csinγ, which is called the Law of Sines.

Calculation:

From the diagram given,

Let a=6 m, b=10 m, β=650, and α be the angle opposite to a

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