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Chapter 13: Q11. (page 706)

Solve triangle ABC using the given measurements if b=7,C=90and鈭�c=18. Round measure of sides to the nearest tenth and angles to nearest degree.

Short Answer

Expert verified

The solution for triangle ABC isa=16.6,A=67and鈭�B=23掳.

Step by step solution

01

Step 1. Write down the given parameters of triangle.

The given triangle ABC is shown below whose parameters are represented as b=7,C=90and鈭�c=18.

02

Step 2. Calculation.

In triangle ABC, b=7,C=90and鈭�c=18.

Now, in right triangle ABC,

c2=a2+b2鈥塯颈惫别蝉,182=a2+72a2=182鈭�72a=511a=16.6

Now by trigonometric ratios,

cosB=accosB=16.618B=cos鈭�116.618B=23掳

Now, C=90and鈭�B=23掳, therefore by angle sum property A=67掳.

03

Step 3. Conclusion.

Thesolution for triangle ABC, is a=16.6,A=67and鈭�B=23掳.

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