Chapter 14.3, Problem 6E

### Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580

Chapter
Section

### Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580
Textbook Problem

# Solve each triangle using the labels as shown in Illustration 1 (round lengths of sides to three significant digits and angles to the nearest tenth of a degree):ILLUSTRATION 1 B = 24.7 ° , C = 136.1 °   , a = 342  m

To determine

To calculate: The lengths of each side and each angle of the illustrated triangle below where B=24.7°,C=136.1°,a=342m,

Explanation

Given Information:

The provided sides are, B=24.7Â°,C=136.1Â°,a=342m and figure is,

Formula Used:

According to law of Sines,

asinA=bsinB=csinC

According to angle sum property of triangle,

A+B+C=180Â°

Calculation:

Consider the figure below,

By the law of Sines,

asinA=bsinB=csinC

By using the above formula,

342sinA=bsin24.7=csin136.1

According to angle sum property of triangle,

A+B+C=180Â°

By using above formula,

A+24

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