
Concept explainers
To calculate:
The value of x .

Answer to Problem 26PPS
The value of x is 72∘ .
Explanation of Solution
Given information:
Round angle measures to the nearest degree and side measures to the nearest tenth.
Concept used:
Law of cosines:
c2=a2+b2−2abcosC
Where,
a,b= sides
cosC= angle
Calculation:
With the help of the diagram, it is observed that having the three sides and no
Law of cosines:
c2=a2+b2−2abcosC
Where,
a=26.2b=13.5c=25.4
And cosC=x∘
First substitute and then simplify,
(25.4)2=(26.2)2+(13.5)2−2(26.2)(13.5)cos(x)
Now simplify the,
645.16=686.44+182.25−7074cos(x)
Now solve for the cos(x)
0.3160=cos(x)
Now use the invers cosine ratio, the value of x is,
x≈72
Hence the value of x is 72∘ .
Chapter 8 Solutions
Geometry, Student Edition
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